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Yes, each day is a surprise and that saying about focusing on the present is definitely, definitely true!!! I, myself, get carried away with thinking about the future too hard and often...but doing something now and all our future "now" actions will immediately impact our distant future....enjoy now, worry later!!! Later will never come because we will always be enjoying now!!  The "nows" will add up to a later depending on the time restriction and how many actions took place...math is wonderful with this type of material!!!

Method 1:

2 du / dt = u^2

2du = u^2 dt (Only divide by u^2 leaving the 2 alone) -->

2/u^2 du = dt

2u^-2 du = dt

2*(u^-1)/-1 --> -2/ u = t + C (Integrate)

u(t + C) = -2 --> u = -2 / (t + C)

1 = -2 / ((0) + C)

1 = -2 / C

C = -2

u = -2 / (t - 2)

u = 2 / -(t - 2)

u = 2 / (-t + 2)

u = 2 / (2 - t).

Method 2:

du/u^2 = 1/2 dt (this time we divided by 2 AND u^2)

u^-2 du = 1/2 dt

-1/u = (1/2t) + C

u = -1/((1/2t) + C)

1 = -1/((1/2(0)) + C)

1 = -1/(C)

C = -1

u = -1/(1/2t - 1).

I would try to rearrange and see how "u" could be solved for faster depending on the simplicity of the integration...also the 2nd method has the simplest form without even doing anything...

So, you have Dm/dt = 3m

Get m by itself -->

Dm = 3m dt --> Dm / m = 3 dt...go from there -->

ln |m| = 3t + C

m = e^(3t+C)

m = Ce^(3t)

5 = Ce^(3*1)

5 = Ce^(3)

C = 5 / e^3 --> m = 5e^(3t) / e^3 --> e^3 is same as e^-3 in the numerator -->  

m = 5e^-3*e^3t --> Combine the e's -->

m = 5e^(3t-3).

Yes thats a nice idea!and your right each day comes with something new and the most surprising day is when we get our marks and then after that all that happens is always a surprise!

i think we should just not worry about the fututre and just enjpy life!you know there was very famous line in a very famous Bollywood movie , that line was" Kise Pata Kal Ho Na Ho" and in  English this means " Who knows ,If Tomorrow's There or Not" so thats why we should not worry for the future and just enjoy the present!

Yep, but each day offers something new and our minds are constantly adapting to new experiences and who knows what will happen...it's all a big mystery! 

Don't worry, let each day bring you new ideas, thoughts, and wonders...no matter whether they are good or bad...

Thats really nice!

Though i have so many dreams and plans for future i still dont know how am i going to do all this!i wish i could see my future , that would be so interesting!

I am leaning toward environmental activism/blogging/social media outreach/tutoring/making video logs...however, I also like plants so maybe a mix of both...

So its just this!Thats so simple!thanks for that CPhill!And u too Aziz!

A point for both!

lol!seriously!then now ive written lots of poems!sooo...................

but writing poems , i wont make it my job , i'll do some engineering course and then when i'd be free i'll write poems , i dont want to totally depend on them!

What do u plan to do Aziz?

It is easier also.

That's pretty simple, rosala....think of it like this....we're just taking something out of the absolute value "as is"  and solving one equation. And then, we're making it "negative" and solving a second equation. If you can solve the first equation, the second one isn't any tougher....!!!!

I have no idea how much they earn, but it depends on the quality of the poem...maybe around 2,000 rupees per poem???

Same as the other question, x + 3 = x -4 is clearly one...and the other has a negative that needs to be distributed--> -(x + 3) = x -4

Can it be more simpler?

I havent seen much of India just becoz of our busy lives!but i think i wont continue this long becoz when i grow up i'll do a very nice job that wont keep me that busy!

you know i am thinking of being a poet writer but i dont know that will epople like my poems or not and if they dont then how will i earn money!aziz if some poet's books are famous or not famous then how much money in Rs can u say they can earn approx?

Note, rosala, that if we have  lNl = 3

Then N might be +3  or -3

So...if we have

[4x + 3l = 5x + 7

Then we might have a "positive" (4x +3)  or a "negative" (4x + 3)

Does that make sense??

Yes, taking in nature and relaxation go hand-in-hand. It's amazing how nature can soothe us and help us clear our minds after so much stress! I have heard of Doremon and yes, Japan does sound peaceful (especially the music and greenery!). 

India is great as well...lots to see! I have only explored a fort, museum, mosque, and cemetery there...

Aziz how did that minus sign come in front of four??in the second step?

The first step is to create two equations:

1) 4x + 3 = 5x + 7

2) -(4x + 3) = 5x + 7 --> -4x - 3 = 5x + 7.

Everyone has different likes!i like to go to beautiful shining places and u like to be between the environment!Both of these things are really nice!i also like to be between the environment but the thing which i want to do the most is like sitting on a grassy hill leaning on the tree and seeing the view of the whole city and having a pen n diary in my hands and writing poems!and the cold breeze passing and a very fresh weather would be there!and u know i had seen this view in a cartoon , Doremon and since then i want to do this and so for it i think i will have to go to Japan!Japan is a really nice place!but if i find this kind of place anywhere else then i would love to sit there the whole day and write poems!its one of my dream!and i can imagine how nice would it be!

And besides those countries in the second place come countries like Spain,Italy Thailand and all!And the first before going to China,i would like to visit some places of my country itself!there a some things that i really want to see of my country!

Yes, travelling the world is the best! Glad you're in the same boat as me.

I, too, wish to go to East Asia -- particularly South Korea because of their interesting culture and advances! The Amazon sounds wonderful as well...but too much deforestation there so it's depressing...plus all the other habitat destruction that is taking place...we humans will definitely cause the next mass extinction! Anyway, my travels would focus on the environmental aspects since I absolutely love the environment (water, earth, wind, etc.!). South Korea protects its environment fairly well and has a government that does exactly what every country should do to hopefully mitigate and combat climate change!!!!

Sorry, off tangent, but yes, China is pretty amazing, too! The scenery is breathtaking...but the major cities are all polluted....

We have cos(beta) = 4/5, but what is this cm?

Wow Aziz you think the same as me " travel the world"! even i wanna do that but first i'll have to earn money get a job and all!

And travelling the whole world would be good but i think i would be able to do this partially as Amazon basin and other forests are also part of the world and i think i wont be able to go there as im very scared of those strage n weird creatures!and dark forests as well!

After earning lost of money the first country i would visit would be China!i am thinking of going to China since i was a kid!i am really fascinated by its night lights and brightness!And then i will go to countries like ummm Japan , Korea and all!i really like those kind of people!their faces are quiet interesting!