Posted by Robert on Monday, August 6, 2012 at 8:20pm.
Solve the differential equation dy/dx = xe^y and determine the equation of the curve through P(1,2)
I tried solving the differential equation and I get y = log(x^2/2 + C).
Is this correct?
Now I forgot how to find the equation.
Thank you!

Calculus  MathMate, Monday, August 6, 2012 at 8:59pm
Your solution is almost good, just a change of the sign will fix it.
y=log(x^2/2+C)
If it has to pass through P(1,2)
substitute x=1, and y=2 and find C.
2=log(1/2+C)
log(1/2+C)=2
take logs
1/2+C=e^(2)
C=e^(2)1/2
so
y=log(x²/2+e^(2)1/2)

Calculus  Paul, Monday, August 6, 2012 at 9:14pm
thanks a lot mate

Calculus  Robert, Monday, August 6, 2012 at 9:22pm
oops, that was under my brother's name hehe

Calculus :)  MathMate, Tuesday, August 7, 2012 at 7:39am
You're both welcome!
Answer This Question
Related Questions
 PLEEEEEAAAASE HELP WITH DIFFERENTIAL EQ PROBLEMS!!  1) What are the equilibrium...
 calculusdifferential equation  Consider the differential equation: (du/dt)=u^...
 ordinary differential equation  consider the differential equation d^3x/dt^3  ...
 calculus differential equation  Find in implicit form the general solution of ...
 calculus differential equation  Find in implicit form the general solution of ...
 Calculus  Consider the differential equation dy/dx=xyy. Find d^2y/dx^2 in ...
 Math  The maximum number of arbitrary constants is equal to a. Number of ...
 Help with differential eqs problem???? (Calculus)  Consider the differential ...
 calculus  is y = x^3 a solution to the differential equation xy'3y=0?? how do ...
 Differential Equations  in this problem we consider an equation in differential...
More Related Questions