I'm having troubles solving this question:

Given: 2tx(dx/dt) = 4t² + 3x²

Rewrite this equation for y(t) = x(t)² and then solve it.

I'd probably know how to solve it, but i don't know how to rerwrite it!

Thanks!

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- January 9th 2013, 07:33 AMjones123differential equations
I'm having troubles solving this question:

Given: 2tx(dx/dt) = 4t² + 3x²

Rewrite this equation for y(t) = x(t)² and then solve it.

I'd probably know how to solve it, but i don't know how to rerwrite it!

Thanks! - January 9th 2013, 08:29 AMGJARe: differential equations
Hi jones123,

If then the chain rule says So Now use this and to make substitutions in the orginal DE and try to solve the new equation for

Does this clear things up? Good luck! - January 10th 2013, 12:41 AMadene364AVS College
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