Iam trying to seperate 1/(s^2+1)(s^2+4) using partial fractions
i am used to doing the cover up method with fractions such as a/s+1 + b/s+2
however i am not sure how to do it with as+b/(s^2+1) ..etc and i hope that someone could me with that

Step-by-step explanation:

You already have the bottom in factors, write the partial fraction in the form As+b for each factor

Multiply both sides by the bottom to stop using fractions:

To find the value of the constants A, B, C, and D, separate the equation by the grade of the s, for example, all that multiplies s^3 in one equation like this:

Because in the left part of the equation doesn't have constants multiplying the s^3 we put a zero in that side of the equation, do the same with s^2,s^1, and s^0

In this case, you can group the equation by constant to solve. First A and D, then B and C.

Solving for A and C:

This system only has one solution A=0 and C=0.

Solving for B and D:

Then the solution is:

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