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C4 - Solving Differentials

When solving a diffrenential equation such as this one:

I solved it by rearranging it to:

1/75 (dt) = 1/(4-5h) (dh)
but the markscheme solves it with this rearrangment:

1 (dt) = 75/(4-5h) (dh)

My question is, how do I know where the constants go? Why is the '75' with the dh side and why can't I have it on the dt side?
Original post by SirRaza97
When solving a diffrenential equation such as this one:

I solved it by rearranging it to:

1/75 (dt) = 1/(4-5h) (dh)
but the markscheme solves it with this rearrangment:

1 (dt) = 75/(4-5h) (dh)

My question is, how do I know where the constants go? Why is the '75' with the dh side and why can't I have it on the dt side?


It makes no difference where the constants go. Do it as you please!
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SirRaza97
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Original post by Gregorius
It makes no difference where the constants go. Do it as you please!


But when I try to find t when h = 0.5 then I get the wrong answer?

EDIT: I figured out why now haha. Thanks for the help anyways
(edited 7 years ago)

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