Transcription of Non-Homogeneous Second Order Differential Equations
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Non-Homogeneous Second Order Differential Equations Procedure for solving Non-Homogeneous Second Order Differential Equations : y" p( x) y' q( x) y g ( x). 1. Determine the general solution y h C1 y( x) C2 y( x) to a homogeneous Second Order Differential equation: y" p( x) y' q( x) y 0. 2. Find the particular solution y p of the Non-Homogeneous equation, using one of the methods below. 3. The general solution of the Non-Homogeneous equation is: y( x) C1 y( x) C2 y( x) y p where C1 and C2 are arbitrary constants. METHODS FOR FINDING THE PARTICULAR SOLUTION (yp ) OF A NON- HOMOGENOUS EQUATION.
to a homogeneous second order differential equation: y" p(x)y' q(x)y 0 2. Find the particular solution y p of the non -homogeneous equation, using one of the methods below. 3. The general solution of the non-homogeneous equation is: y(x) C 1 y(x) C 2 y(x) y p where C 1 and C 2 are arbitrary constants. METHODS FOR FINDING THE PARTICULAR SOLUTION ...
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