ther question will save this response. Question 9 The solution of the equation for the differential...
Question 6 The solution of the differential equation x?y" – 3xy' + 4y = 0) is Select the correct answer. a. y = cpx?+ czx?inx b. y=cqx+cax? c. y = cqx+c2xlnx (3-5 d = 1x 6-7 +cax e. y = cix+cox?
9. Question Details ZIDIFEQ9 4.3.009.(38 Find the general solution of the given second-order differential equation. y"+ 36y o y(x) 10. Question Details zomEQ9 4.3.015. Find the general solution of the given higher-order differential equation. yx) - 11.Question Details ZIDTEQ9 4.3.029 Solve the given initial-value problem. y" + 36y-o, y(0)-7, yto)--5 ytx)- 12. Question Details ZIMDifTEQ9 4.4 Solve the given differential equation by undetermined coefficients. y"-6y' + 9y # 6x + 5 y(x)- 13. Question Details ZillDiffE Solve the given differential...
8. Find the solution to the differential equation y"+2y'+y=sinx using the method of undetermined coefficients. 1 COS X (a) y=ce' +ce' + -cosx 2 (b) y = ce' +cxe'+ (c) y = cxe' +cze cos x (d) y= c,e* + c xe" COSX 1 (e) y=ce' + ce + sinx 2 (f) y=ce' + exe* + sin x 2 (g) y=cxe' + e*- sinx 2 (h) y=ce' + cxe' 1 sinx 9. Use the method of undetermined coefficients to find...
y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given D2y + 25y = -5 sin 5x (Let y p = Ax sin 5x + Bx cos 5x.) sin 5x + c2 cos 5x + x sin 5x - 1 x cos 5x Oo oo cos 5x + = x cos 5x y = C1 sin 5x + C2 cos 5x + 5x sin 5x y = C1 sin 5x + C2 cos 5x...
(c) (i) Find the general solution of the following partial differential equation y, = 2y sin x + e-x Whatische solution when the initial conditions are v(0,y)--y, and (ii) y(x, 0) = cos x ? (10 Marks)
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
1. Consider the differential equation: 49) – 48 – 24+246) – 15x4+36” – 36" = 1-3a2+e+e^+2sin(2x)+cos - *cos(a). (a) Suppose that we know the characteristic polynomial of its corresponding homogeneous differential equation is P(x) = x²(12 - 3)(1? + 4) (1 - 1). Find the general solution yn of its corresponding homogeneous differential equation. (b) Give the form (don't solve it) of p, the particular solution of the nonhomogeneous differential equation 2. Find the general solution of the equation. (a)...
Solve differential equation y'=x?y2 by separation of variables, it has a general solution -- Select the correct answer. a. y = b. y = 3 c. y=- x+c d. y = y2 + 2xy + c 2 e. y = x²+c
Question 11 Match the differential equations in the right column with the types of roots of the characteristic equations in the left column. Distinct Roots Ay" + y + 4y = 0 Repeated Roots B. (y)2 - 6y'+9=0 Complex Roots with both real part and imaginary part cy" - 2y' + y = 0 Complex Roots with zero as real part D.Y" + 4y = 0 E.y? - 2y + 1 = 0 F." - V - 4y = 0...
Show Timer Question Completion Status: To find a particular solution of the differential equation (D - 1)?(D – 2)(D? +1)y = f* + COS I — 2 sin one can use the following trial solution On Aox?e* + 3(Al cos 3 + A2 sin 2) OB Aoxe + .(ACOS T: + Asin x) Oc Anx?et + x² (A, COS I + A, sin x) OD Ao + Au cos x + A, sin x O Age* + (A, cos x...