" 103.The solutionoftheinitial value problem "(d^(2)y)/(dx^(4))=2,y(0)=y'(0)=y''(0)=y''(0)=0

The solution of the initial value problem (d^4 y)/(dx^4)= 2, y(0) =y'(0)=y''(0) = y'''(0) = 0 is

Solve the initial value problem: dy=e^(2x+y)dx,y(0)=0

Solve the initial value problem: dy=e^(2x+y)dx ,y(0)=0.

Show that the function phi , defined by phi(x)= cos x(x in R) , satisfies the initial value problem (d^(2)y)/(dx^2)+y=0, y(0)=1, y'(0)=0 .

Solve the initial value problem: (x+1)(dy)/(dx)=2e^(-y)-1,\ y(0)=0

What is the only solution of the initial value problem y^(2)=t(1+y) ,y(0)=0 ?

Solve the following initial value problem: xy(dy)/(dx)=y+2,y(2)=0

Solve the following initial value problem: (dy)/(dx)=2e^(2x)y^(2),y(0)=1