s"-74+6 Solve this differential equation o using the method of Variation of = 2 ;inx ara...
Find a particular solution to the following differential equation using the method of variation of parameters. x2y" – 9xy' + 16y = = x?inx
03: 16 Marks) Use the variation of parameters method to solve the differential equation 03: 16 Marks) Use the variation of parameters method to solve the differential equation
6) a) Solve the following differential equation using the Laplace transform method. dy = 1.87ylt) + 4.05 y0) = 1 You may need the expression, 1.05 4.05 s(s - 1.87) 1.87(s - 1.87) 4.05 1.87s [8 marks] b) Solve the following differential equation using the Laplace transform method. dºy + 2.61X + 6.55y(t) = 0 y(0) = 1, y'(0) = 1 2. You may need the expression, s +1 +2.61 52 +2.615 +6.55 *2.01.2015 - | 1+2,61 (8+2.01) + ((6.55-...
3) Using the Method of Variation of Parameter, solve the following linear differential equation y' (1/t) y 3cos (2t), t > 0, and show that y (t) 2 for large t
Solve this second order Differential Equation using any method. O"c
Solve the differential equation S-20x by the method of y- 24 d, Solve the differential equation y" +z/aAc' by the equation yy- b, c. 2。メsolve the differential equation 144y"-ay'+y-12(x+r) by the nl21)by the method of undetermnined coefficients. y(12 12 d. yr(G+Ga)e1/12: + 288 + 12x + 12 e12 Solve the differential equation "19dy-sin 14x by the method of undeternined coefficient a. cos 14x+ 14C2 sin 14x
Solve the given third-order differential equation using variation of parameters /r
(5) Solve the differential equation V+x2 Hint: use the method of variation of parameters followed by separation of variables.
6. Solve the differential equation by variation of parameters. y" – 2y' + y = fiz
of 3. Solve the differential equation y de + - dx +(2y Inx - 3sin (3y)) dy = 0.