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(a) Find the general solution of the the second-order linear ODE \[ 2 y^{\prime \prime}-5 y^{\prime}-3 y=0 \] (b) Find the general solution of the inhomogeneous sccond-order linear ODE \[ 2 y^{\prime \prime}-5 y^{\prime}-3 y=10 \sin x \] (c) Find the solution to the Initial Value Problem \[ 2 y^{\prime \prime}-5 y^{\prime}-3 y=10 \sin x, \quad y(0)=4, y^{\prime}(0)=1 . \]

a) Given differential equation is 2y??5y??3y=0 The op

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