Explain how to solve differential equations of the following types:
Provide examples with complete solutions for each case.© BrainMass Inc. brainmass.com March 4, 2021, 7:36 pm ad1c9bdddf
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I. The method. Let with f a continuous function. There is a simple trick to solve this type of differential equation: let us introduce the auxiliary function
(recall that y is a function of x). Then:
and So, by simple substitution, we get:
which is very easy to solve!
Example: to solve we put u=x+y+3, so we have to solve:
because a=b=1 in this case. The ...
Ordinary differential equations are solved. The solution is detailed and well presented. Examples with completed solutions for each case are determined.