solve dy/dt=yt^3-1.5y subject to y(0)=1

Introduction : Here we shall solve dy/dt=yt^3-1.5y subject to y(0)=1 which is a ordinary differential equation of first order with a condition on solution.Question : Solve \[\frac{dy}{dt}=yt^3-1.5y , y(0)=1\]Solution :Given differential equation \[\frac{dy}{dt}={\rm yt}^3-1.5y\ \ \ \ \ \ \…

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