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The solution is attached below in two files. The solution is the same in both files , only the format is different.
On is in Acrobat pdf format and the other is in MS Word format, so you can choose your favorite application.

However ...

Solution Summary

A differential equation is solved. The solution is detailed and well presented.

... you should notice that the two differential equations we need ... Now, both of your equations are second-order ... 2 as the highest order of the differentials (that is ...

... Fourier transform applied to Dirac delta distribution yields "1". The equation (11) becomes a simple ordinary differential equation of 1'st order: (17) whose ...

... A differential equation is solved. ... dB = B (a − bB ) dt Solving the differential equation by separation of variables: 1 dB = dt B (a − bB ). ...

... Question 10: (1 points) Make the change of variable for the homogenous differential equation. and find , where. ... This is a separable differential equation. ...

Differential Equation Given the Roots of the Auxiliary Equation. ... Thus: But: The file contains a detailed solutions how to solve these differential equations. ...