W/Downloads/Asg-10(MAL102).pdf Assignment on Differential Equation 1. Solve the following linear differential equations with constant coefficients (i) (D2 - 2D + 1) y = 32 e3x, (ii) (D4 - 1) y = et cos x, (iii) (D2 - 2D + 1) y = re sinx, (iv) (D2 + 2D + 1)y = xcosx. 2. Solve the following differential equations using variation of parameters: (i) y" + 4y = 4tan 2.x, (ii) y" - y = 1 ox. (iii) y" +ny = sec nx. 2 3. Solve the following Cauchy-Euler differential equations: (i) (x2 D2 - xD + 2) y = x logx, REDMI NOTE 9 PRO MAX AI QUAD CAMERA (1i) (x3 D3 + 2x2 D2 + 2) y = 10 + 1