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# Differential Equation Watch

1. How do you solve

it's been years since i did this stuff.

is it the old complementary function and particular integral?

if so, i get

and then for the particular integral if we take

the equation implies

and so the general solution is

Can anyone agree/disagree?
2. (Original post by latentcorpse)
Can anyone agree/disagree?
I think, best to swiftly draw a line under that lot.

So

3. (Original post by ghostwalker)
I think, best to swiftly draw a line under that lot.

So

oops its meant to be
4. (Original post by latentcorpse)
oops its meant to be
In that case, dunno; too rusty, myself!
5. (Original post by latentcorpse)
How do you solve

it's been years since i did this stuff.

is it the old complementary function and particular integral?

if so, i get

and then for the particular integral if we take

the equation implies

and so the general solution is

Can anyone agree/disagree?
Use the integrating factor method. i.e. for a DE of the form:

The integrating factor is

Multiply through the DE by the integrating factor and spot the derivative on the LHS. The differential equation will now be separable.
6. (Original post by latentcorpse)
How do you solve

it's been years since i did this stuff.

is it the old complementary function and particular integral?

if so, i get

and then for the particular integral if we take

the equation implies

and so the general solution is

Can anyone agree/disagree?
I disagree
You are right at solving the homogeneous part and

THen for the particular I would take

That is consider C as function of x C=k(x)
At substituting it into original equation derivate is as a fraction.

Apart from this in your work you took y=ke^(-x)
but then
and substituting into the original you get more complicated DE.

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