Solve the following differential equation.

dy/dx = e^(2x) - 3y and y=1 when x=0.

Hint: Recognize this as a first-order linear differential equation and follow the general method for solving these and use the initial conditions to find the integration constant.(e^(2x))/5 + 4/(5e^(3x))

Solution:

y=

Can someone please solve this step by step and explain how to get to the solution?

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