The complementary function(C.F.) of the differential equation (D – 7)²(D + 5)y = 7x is O (c1 + c2x)e-* + c3e° + C3e¯ - 5x O (c1 + c2x)e" + c3e¬5æ -5x o (c1 + c2x)e'a + c3e5¤ O (c1 + c2x)e-7® + C3e5æ

Q: 2) Solve the differential equation: (D² – 11D + 28)y = 50 – e30x + e 4x

A: We have to find the general solution of given differential equation.

Q: y(s) =. (s+2)² +1 e" (cost – 2 sin t) -2t e" (cos t – 2 sin t) O A.) O B.)

A:

Q: The complementary function(C.F.) of the differential equation(D – 7)²(D+3)y = 7x is_ O (c1 + C2x)e=…

A: Differential equation and complementary function

Q: ¬(D – 6)°(D+4)y = 6x is_

A:

Q: Obtain a linear differential equation with real, constant coefficients that is satisfied by the…

A: We first obtain Dy, D2y, D3y, D4y, D5y for given particular solution y. Then we find which of the…

Q: Solve the equation y''' - y'' - 2y'= 0

A:

Q: A third-order differential equation has a general solution of: y=e-2x(C₁ + C₂cos8x + C2sin8x).…

A:

Q: The complementary function(C.F.) of the differential equation (D – 8)² (D + 4)y = 8x is_ - O (c. +…

A: Given that the differential equation be       (D - 8)2(D+4)y = 8x Here we have to find the…

Q: The complementary function(C.F.) of the differential equation (D² + 6D+18)y=x is_ -37 (c1 cos 3x +…

A:

Q: S tan-1 е' 1+4t² 2t dt

A:

Q: The complementary function(C.F.) of the differential equation(D – 2)°y = sin 2x is_ O (ci + c2x +…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: (x2 + 1)у' + 3x(у — 1) — 0, У (0) — 2

A:

Q: у"" + Зу" + 4y' + 12у %3D 8cos2x — 16sin2x

A:

Q: The complementary function(C.F.) of the differential equation(D – 6) (D+ 4)y = 6x is_ O (cı + c2x)e0…

A: Given: D-62D+4y=6x

Q: -x-1)dx= -e-2 А. 2e е-2 В. C e+2 2e Зе- 2 D. 2e 2e

A:

Q: d³y d²y + 7. dx3 What is the auxiliary equation of the linear differential equation + 13 y = 0 ? dx2…

A:

Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

A:

Q: Which is the correct differential equation of the y = x + be²* + ce² after elimination of the…

A: The explanation of answer as follows :

Q: Solve the differential equation y – 5y/" + 6" + 4y/ – 8y = 0. Oy = cer + czxe²" + cze¯* + c4xe O y =…

A: We need to solve the given differential equation. This can be done as follows:

Q: Which one is non linear differential equation O a. d³y +3x Y - 10y = x dy dx3 dx O b. dy + 8xy = 2x…

A: Differential equations are given, we have to find it is linear or non-linear

Q: Ify= (x³ + 1)“ , theny = ? (A None of the given choices B(3x2)? © 2(x³+ 1) O 6x²(x³ +1) E 2(3x² + 1)…

A:

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: The complementary function(C.F.) of the differential equation(D – 7) (D+4)y= 7x is_ O (ci + c2x)e +…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: L" + 2x" – x' – 2x = et Write the equation as a 1st order linear differential equation system and…

A: Given equation is  x'''+2x''-x'-2x=e3t                                                (i) Let…

Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

A:

Q: Determine the total solution of the differential equation (D²+8D+16)y = 64cos4x.

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.