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Find the general (real) solution of the differential equation: y- 8y' + 20y=53 e-3 x 4x y(x) = e c cos(2x ) + c,sin (2x)

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Find the general (real) solution of the differential equation: y"- 8y' + 20y=53 e-3 x 4x y(x) = e c cos(2x ) + c,sin (2x) + 10.6e -3x X Find the unique solution that satisfies the initial conditions: y(0) = 2 and y'(0) =-1 y(x) = 2 cos (2x ) - 7.7 sin (2x ) + 10.6e-3x XFind the general (real) solution of the differential equation: y" + 2y' + 5y=17 cos(2 x) Find the unique solution that satisfies the initial conditions: y(0) = -3 and y'(0)=14 Find the general (real) solution of the differential equation: y" + 4y' + 8y=4O sin(2 x) Find the unique solution that satisfies the initial conditions: y(0) = 2 and y'(O)=2 Find the general (real) solution of the differential equation: y" 6yr + 5y=13 sin(x) Find the unique solution that satisfies the initial conditions: y(0) = O.5 and y'(0)=4

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