Question

A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation....

A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y''+5y'+6y=24x^(2)+40x+8+12e^(x), y_p(x)=e^(x)+4x^(2)

The general solution is y(x)=

​(Do not use​ d, D,​ e, E,​ i, or I as arbitrary constants since these letters already have defined​ meanings.)

Math   Calculus   
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Answer #1

Note: to find the general solution we need solution of homogeneous equation and particular solution. Since particular solution is given so we need to find solution of homogeneous differential equation as explained in the image

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