When solving DEs, do we always have to express it with the top term as the sbjt?

[PB]

My teacher said that lets say if you are solving DE we should always express the solution with the top term as the subject. So if solving dh/dt, the solution should always be reshuffled so as to be expressed as h in terms of t(if neccessary)  Is this true?
Because for the answers for Essentials Ex 9E Q2a states it as t in terms of h...so yeh..bit confused
Thanks! +1

[lzxnl]

Give your teacher the differential equation 55e^y*sin(y)*cos^3(y) dy/dx = x^3+3x-5 and he/she will eat their words

It depends on the question; if it asks for h in terms of t, then you give h in terms of t. Generally they'll do so, but if they just ask you to solve the equation...you have technically solved the differential equation by removing the derivative term.

[PB]

Ah I see, thks nliu! its amazing how much you know!! Have you already finished the course??

[lzxnl]

No worries! And that's certainly an exaggeration; what have I done to suggest that I know an unusual amount? I've just presented you a weird differential equation

Although yes I have finished the course. I figured that finishing the course earlier on would help reduce my workload this year.

[PB]

Haha, just the general confidence you exude from answering questions on the forums lead me to that inference.
and its a wise smart decision you made, wish I thought of that last year :PP

[lzxnl]

Oh it's funny; I'm considered a nerd by others when I do the course early, but when others get to the spesh course...

And I exude confidence when answering questions? Well that's something I have to moderate

[Lasercookie]

And I exude confidence when answering questions? Well that's something I have to moderate

I think he meant confidence in a good sense :3

[Stick]

My teacher said that lets say if you are solving DE we should always express the solution with the top term as the subject. So if solving dh/dt, the solution should always be reshuffled so as to be expressed as h in terms of t(if neccessary)  Is this true?
Because for the answers for Essentials Ex 9E Q2a states it as t in terms of h...so yeh..bit confused
Thanks! +1

I got told the same thing and we've had to do it for more difficult problems as well... :S