Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Integro-differential equations??

I have y(t)=[integral from 0 to t] s^2y(s)ds and (by converting to ODE) i have y'(t) = t+t^2 with y(0)=1, thus y(t)=(1/2)t^2+(1/3)t^3 +1

My question asks to sub this solution back into the integral to show that it is a solution but when i do this & solve it doesnt work, any suggestions?

Thanks,
Polly.

Original post by Polly12345

...

Not something I've studied, but from what little I know, I'd have thought your differential equation should be.

y'(t)=t^2y(t)

I could be wrong, but it seems to work.

Original post by ghostwalker

Not something I've studied, but from what little I know, I'd have thought your differential equation should be.

y'(t)=t^2y(t)

I could be wrong, but it seems to work.

I agree with you - it's just the FTC, isn't it?

Original post by Smaug123

I agree with you - it's just the FTC, isn't it?

Having discarded "Farmers Telephone Cooperative" :smile:

:smile:

, I realised you're refering to the Fundamental Theorem of Calculus. Yep.

Original post by ghostwalker

Having discarded "Farmers Telephone Cooperative" :smile:

:smile:

, I realised you're refering to the Fundamental Theorem of Calculus. Yep.

:biggrin:

PRSOM!

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