Find the solution of D.E

Xe(x(2)+y) dx= y dy

Question

Find the solution of D.E  

Xe(x(2)+y) dx= y dy

nenadmatematika · Answer

you haven't written this properly...post again more carefuly :D

anonymous · Answer

Yeah, I can't read this.

anonymous · Answer

X Exp(x2+y) = y dy

anonymous · Answer

$$xe^{x^2+y} dx=ydy?$$

anonymous · Answer

sorry i'm new >> yeah that is right 
please help me

anonymous · Answer

That's okay, you will learn. Back to the DE in our hands. This DE is separable since we can write it as $x(e^{x^2}e^y)dx=y dy.$. Divide both sides by $e^y$ and then integrate both sides.

anonymous · Answer

Dividing both sides by $e^y$ gives
$$xe^{x^2}dx=\frac{y}{e^y}dy \implies \int xe^{x^2}dx=\int ye^{-y}dy.$$

anonymous · Answer

Do you know how to evaluate the integrals?

anonymous · Answer

what (frac)

anonymous · Answer

What do you mean?

anonymous · Answer

Hmm looks like your browser has some problems with showing latex. Anyways frac{x}{y} means x over y.

anonymous · Answer

what about Homogeneous ?

anonymous · Answer

What about it?

anonymous · Answer

can solve with it ?
is that Homogeneous Eq.?

anonymous · Answer

It doesn't look homogeneous to me.

anonymous · Answer

if it ? how i solve in this way?
and can you help me to get me book with maths Eq.

anonymous · Answer

Are you asking about how to solve Homogeneous DE's?

anonymous · Answer

These are good notes on HDE http://tutorial.math.lamar.edu/Classes/DE/HOHomogeneousDE.aspx

anonymous · Answer

thanks a lot ..... <3

anonymous · Answer

Glad to help.