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OpenStudy (anonymous):

solve ivp y''+4y=2x ,y(0)=1,y'(0)=2

OpenStudy (anonymous):

For the complimentary solution (i.e. solving y''+4y = 0) which you'll need you can follow the basic process outlined at Then for the particular solution you can use either Undetermined Coefficients (probably easiest for this problem) at, Or variation of parameters at The first and second example on the Undetermined Coefficients page shows how to solve a full IVP using this process.

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