Consider the linear homogeneous second order initial value problem y''-4y'+29y=0,  y(0)=2,  y'(0)=-1 A)  Write out the characteristic equation corresponding to the differential equation B)  Solve the characteristic equation and write out the general solution to the equation. C) Use the initial conditions to determine the constants, then write out the final solution

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Q: 14. Solve the differential equations: (a) y - 4x' + 2x +5 , where 0)-10 ; (b) y - 3x + xy , where 0)…

A: Solve the differential equations. (a) y'=4x3+2x+5, where y1=10 (b) y'=3x+xy, where y0=2 (c)…