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(Solved): (a) Find the general solution of the the second-order linear ODE \[ 2 y^{\prime \prime}-5 y^{\prime ...
![(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 ge](https://media.cheggcdn.com/study/94c/94cf0b4c-b848-41a2-b39f-4a8d568e2f36/image)
(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 \[ 2 y^{\prime \prime}-5 y^{\prime}-3 y=10 \sin x, \quad y(0)=4, y^{\prime}(0)=1 . \]
Expert Answer
a) Given differential equation is 2y??5y??3y=0 The op