# Homogeneous linear second order differential equations

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**Solving Homogeneous Linear Second Order Differential Equations**

Find some general solutions to the following constant coefficient homogeneous linear second order differential equation:

$2y''+5y'-3y=0$- Using the initial conditions find a particular solution to the following differential equation:

$y''+3y'-4y=0$ $y(0)=3, y' (0)=-2$