solve dy/dt=y-2t^2y subject to initial condition y(0)=2

Introduction : Here we shall solve dy/dt=y-2t^2y subject to initial condition y(0)=2 which is a ordinary differential equation of first order with a condition on solution. Question : Solve \[dy/dt=y-2t^2y, y(0)=2\] Solution : Given differential equation \[\frac{dy}{dt}=y-2t^2y\ \ \ \…

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