# differential eqn generation

• Jan 29th 2013, 03:58 AM
prasum
differential eqn generation
y=(x^100)*(e^x)

what will be the differential equation if the above is one of its solution
• Jan 29th 2013, 05:14 AM
Prove It
Re: differential eqn generation
Why not differentiate the function you have been given? That would be appropriate since a differential equation is an equation that has derivatives in it...
• Jan 29th 2013, 07:30 AM
prasum
Re: differential eqn generation
how to find the derivatives of this
• Jan 29th 2013, 09:05 AM
HallsofIvy
Re: differential eqn generation
Take a Calculus course! Then you will learn that the derivative of \$\displaystyle e^x\$ is simply \$\displaystyle e^x\$, that the derivative of \$\displaystyle x^n\$ is \$\displaystyle nx^{n-1}\$ for all n except n= 1, and the "product rule": the derivative of f(x)g(x) is the derivative of f(x) times g(x) plus f(x) times the derivative of g(x)- (fg)'= f'g+ fg'.
• Jan 29th 2013, 10:22 AM
Hartlw
Re: differential eqn generation
y= f(x) satisfies the DE y'=f'(x). For ex, if y=x^2, the DE is dy/dx = 2x.

That's the crux of the question. The actual differentiatin should be trivial.