3) 2y"+y'-y = x + 1

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: 2. y" + 4y = 8t²-20t+8

A:

Q: Differentiate. x4 y: 3 — х3 y' У -

A:

Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

A:

Q: y""-y=4e-x + 3e²

A: Given a differential equation y'''-y=4e-x+3e2x. To find the solution of given differential equation.…

Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: - xy +y= 0 %3D

A: The differential equation is given as y''-xy'+y=0. Let y=∑n=0∞anxn be the solution of the…

Q: 3t 2x"-2x'-4x = 2e" 5.

A:

Q: y" + xy' = 0, x0=0

A:

Q: y = -2x³ 4x* + 2x3 5x + 15, find y'"' - -

A: Given: y=-2x5-4x4+2x3-5x+15

Q: Eliminate the arbitrary constants A and B in the equation y = Acos5x + Bsin5x. O A.y" - 25y = 0 O…

A: Solution :  Options (B) is correct

Q: What is the order of the equation y" y- (y')³=4?

A:

Q: Y"+y=secxtanx

A: Given, y'' + y = secx tanx This is a second order linear, non-homogeneous ODE. We can write the…

Q: find dp/ dq. sin q + cos q = cos q

A:

Q: Series Solution Method. In each of Problems 1 through 20, solve the given differential

A: Given,         y''+xy=0;        x0=0

Q: Зу" +y=0.

A:

Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…

Q: Series Solution Method. In each of Problems 1 through 20, solve the given differential equation by…

A: Given y''+5y'+6y=0,   x0=0   To Solve: The differential equation by means of a power series about…

Q: * Salne the equalion:- (2x-44 +5)y'=n -2y+3

A: This homogeneous differential equation is solve by substitution and then by separation of variables…

Q: 6. у" — 4y' + 7у %3D0

A: