physicsjock
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Hey,
I have been trying to work out how to solve this example question I found in a recommended text,
http://img715.imageshack.us/img715/5052/asdavm.jpg
Everywhere I've been reading starts with since y=eta(x) is a particular solution then y=eta(x) + u is a general solution, but the question doesn't state eta(x) as a particular solution, is that a problem?
Anyway in this question is the way to go simply subbing in y = eta + 1/si then noting that all the lone eta components cancel since they are a solution themselves.
But when I do that,
I end up with something like
[itex]\frac{dx}{d\Psi }=\left[ p(x)+2q(x)\eta (x) \right]\Psi (x)+\frac{q(x)}{{{\Psi }^{2}}(x)}[/itex]
and I can't rearrange it to form the equation which si solves,
any idea on what I've done wrong?
I have been trying to work out how to solve this example question I found in a recommended text,
http://img715.imageshack.us/img715/5052/asdavm.jpg
Everywhere I've been reading starts with since y=eta(x) is a particular solution then y=eta(x) + u is a general solution, but the question doesn't state eta(x) as a particular solution, is that a problem?
Anyway in this question is the way to go simply subbing in y = eta + 1/si then noting that all the lone eta components cancel since they are a solution themselves.
But when I do that,
I end up with something like
[itex]\frac{dx}{d\Psi }=\left[ p(x)+2q(x)\eta (x) \right]\Psi (x)+\frac{q(x)}{{{\Psi }^{2}}(x)}[/itex]
and I can't rearrange it to form the equation which si solves,
any idea on what I've done wrong?
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