# Confirm that the given function satisfies a differential equation.

• Dec 7th 2011, 02:08 AM
Lownavin
Confirm that the given function satisfies a differential equation.
• Dec 7th 2011, 02:09 AM
Prove It
Re: Urgent ! Calculus test tml ! Help me please :(
Quote:

Originally Posted by Lownavin

This is quite straightforward, differentiate the function twice, then substitute them into the DE to show that it is zero...
• Dec 7th 2011, 02:19 AM
princeps
Re: Urgent ! Calculus test tml ! Help me please :(
Quote:

Originally Posted by Lownavin

$\frac{dy}{dx}=e^{5x}+5xe^{5x}$

$\frac{d^{2}y}{dx^2}=5e^{5x}+5e^{5x}+25xe^{5x}=10e^ {5x}+25xe^{5x}$
• Dec 7th 2011, 02:24 AM
Lownavin
Re: Urgent ! Calculus test tml ! Help me please :(
How do i get 10e^5x to become 10dy/dx
• Dec 7th 2011, 03:04 AM
mr fantastic
Re: Urgent ! Calculus test tml ! Help me please :(
Quote:

Originally Posted by Lownavin
How do i get 10e^5x to become 10dy/dx

As has been said already, you substitute the derivatives into the differential equation. And you have been given the derivatives! Now it's your turn to do some work.

Show what you have tried and where you are stuck.