y=(x^100)*(e^x)

what will be the differential equation if the above is one of its solution

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- Jan 29th 2013, 03:58 AMprasumdifferential 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 AMProve ItRe: 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 AMprasumRe: differential eqn generation
how to find the derivatives of this

- Jan 29th 2013, 09:05 AMHallsofIvyRe: 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 AMHartlwRe: 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.