+0

# Obtain the solution that satisfies the given conditions of the differential equation, dy/dx = tanxtany , y = pi/4 at x = pi/4

0
454
6

Obtain the solution that satisfies the given conditions of the differential equation, dy/dx = tanxtany , y = pi/4 at x = pi/4

Guest May 28, 2015

### Best Answer

#1
+26544
+15

.

Alan  May 28, 2015
Sort:

### 6+0 Answers

#1
+26544
+15
Best Answer

.

Alan  May 28, 2015
#2
+91900
+5

I am looking at this a bit at a time Alan.

$$\\\int{\frac{dy}{tan(y)}}\\\\ =\int{\frac{cos(y)}{sin(y)}}dy\\\\ =ln(sin(y))+k$$

Isn't that correct ?

Melody  Jun 3, 2015
#3
+26544
+5

Same thing Melody:

I might have got to the end result quicker if I'd used your formulation though!

.

Alan  Jun 3, 2015
#4
+91900
0

Thank Alan

Melody  Jun 4, 2015
#5
+889
+5

Also Melody, it's often advantageous to write the constant of integration as

$$\ln(k).$$

That allows the result to be written as

$$\ln(\sin y) + \ln(k) = \ln(k \sin y)$$

making later simplification easier.

Bertie  Jun 4, 2015
#6
+91900
0

Thanks Bertie

That makes god sense  :)

Melody  Jun 4, 2015

### 6 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details