Consider the following IVP: Consider the following IVP: y' +y = e2* ; y(0) = 0 y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. Find the general solution. A y(t) = A y(x) = c,e¯*+c ze-2' + - sinx 2 COsx ® y(x) = c,+c,e-*+coshx - sinhx B у (1) = re 3 2 -t (C) y(t) = - -cosx + -sinx 2 3 -21 + -e -t © y(x) = c,+c,e*+;cosx -si у (г) e 2 5

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