Question: ? x 3 ? y ( 3 ) ? 2 ? x 2 ? y ? ? + 5 ? x ? y ? ?

?x3?y(3)?2?x2?y??+5?x?y??5?y=5? for differential equations

a) Find the homogeneous solution

b) Find the special solution of the non-homogeneous equation using the method of change of parameters.

c) Find the general solution of the equation with the initial values ?y(1)=y?(1)=y??(1)=0?.

? x 3 ? y ( 3 ) ? 2 ? x 2 ? y ? ? + 5 ? x ? y ? ?
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