Find the general solution to each differential equation. $$y^{\prime}=2 y+4 e^{2 x}$$
Added by Joseph L.
Step 1
First, we need to find the homogeneous solution by setting the right-hand side to zero: $$y^\prime = 2y$$ This is a separable differential equation that can be solved by separating the variables and integrating: $$\frac{dy}{y} = 2dx \quad \Rightarrow \quad \ln|y| = Show more…
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