If , then is equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If y=(a+bx)emx+(m−1)−2exy=(a+bx)e^{mx}+(m-1)^{-2}e^x, then d2ydx2−2mdydx+m2y\frac{d^2y}{dx^2}-2m\frac{dy}{dx}+m^2y is equal to: (1) exe^x (2) emxe^{mx} (3) e−mxe^{-mx} (4) e(1−m)xe^{(1-m)x}

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