solved particular integral of linear ode dy/dt+cos(t)y=3cos(t)

Introduction : The differential equation dy/dt+cos(t)y=3cos(t) is a linear ode. We shall apply integrating factor method to solve this. Finally using initial condition we shall get it’s particular integral. Question : Find particular integral of the ode \[\frac{dy}{dt}+ycos\left(t\right)=6\cos{\left(t\right)}\] satisfying \[y\left(0\right)=5\]…

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