Solving a second-order differential equation with initial conditions

[mr_coffee]

more Diff EQ fun!

http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/58/6217226076d5fd259f53ad1e3ed4071.png
Find such a solution and then give the related functions requested.
http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/57/f15a6cea760ce4906a6ec16f9d29451.png
I submitted this:
http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/fb/2d83d3f390393ffc52b32ad0bd9fbf1.png
which was wrong! wee!

Here is my work:
http://img8.imageshack.us/img8/9514/lastscan6bj.jpg

 

[benorin]

What's with the $1\sin (y)$ ? Are you sure it's not $i\sin (y)$ ?

 

[benorin]

If it is indeed $1\sin (y)$ I get

$$F(x,y)=-7x^2-5x+e^y\left( 4\cos (y) + 5\sin (y)\right) =K$$

same as you.

 

[mr_coffee]

yep that bad boy is definatley a 1, this program will randomly generate numbers, some people actually got 0's infront of theirs, i will e-mail the professor to see if the problem is working correctly!