Method of Undetermined Coefficients

[Nukie]

Sorry, I should be able to do this but I am really frustrated right now and this is just a small part of a larger problem (I am so used to providing exponential solutions I forgot all about method of undetermined coefficients)

the problem is

trying to solve for H obviously

thanks,

-Mark

P.S. I know to solve for the homogeneous solution first i.e. set LHS=0... (solution should be of the form t^2) I get hung up trying to deal with the constant on the RHS

 

[Deleted member 4993]

Sorry, I should be able to do this but I am really frustrated right now and this is just a small part of a larger problem (I am so used to providing exponential solutions I forgot all about method of undetermined coefficients)

the problem is

trying to solve for H obviously

thanks,

-Mark

P.S. I know to solve for the homogeneous solution first i.e. set LHS=0... (solution should be of the form t^2) I get hung up trying to deal with the constant on the RHS

This is of the type:

\(\displaystyle \frac{dy}{dx} + A\cdot\sqrt{y} \, = \, B\)

\(\displaystyle \frac{dy}{B - A\cdot\sqrt{y}} \, = \, dx\)

Now integrate both sides...