Difficulty checking the solution of differential equation

[asadpasat]

Homework Statement

The differential equation is xy'-2y= x³e^x
Check the solution y=x² e^x

Homework Equations

Just plug in

The Attempt at a Solution

y' = x²e^x + 2xe^x
Having problem solving for x.

 

[Chestermiller]

Why are you trying to solve for x? Just substitute your solution for y into the differential equation.

Chet

 

[SammyS]

Homework Statement

The differential equation is xy'-2y= x³e^x
Check the solution y=x² e^x

Homework Equations

Just plug in

The Attempt at a Solution

y' = x²e^x + 2xe^x
Having problem solving for x.

Why solve for x ?

Like you said, "Just plug in".

 

[asadpasat]

omg, got it. thanks a lot

Why are you trying to solve for x? Just substitute your solution for y into the differential equation.

Chet