Find the General Solution: (D2-1)y = (1-e2x)-3/2

Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

A:

Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1. Ay = (1 – x)e2r y = (2 + 3x)e- y = (1 +…

A:

Q: Solve (D² – 3D + 2) y = 2e3 +4 sec (e-)

A:

Q: Find the general solution  (D2 − 2D − 3)y = 0 when x = 0, y = 0, y′ = −4

A: The given equation is,D2-2D-3y=0with the initial condition,x=0, y=0, y'=-4

Q: solve (D^3-3D^2+3D-1)y=x^2(e^x)

A: Solve the differential equation:  D3-3D2+3D-1y=x2exD-13y=x2exy=1D-13x2ex   y=1D-13x2ex  =ex1D+1-13x2…

Q: Find the general solution. 1. (D2 + 3D − 18)y = 0

A:

Q: What is the general solution of the equation y '(t) = 3y - 12?

A: We first separate the variables

Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

A:

Q: Solve the D.E ý - 25 +2y = 2 X73

A: Please read whole answer your doubt will be cleared.

Q: Solve (D - D’-1)(D - D’-2)z = e3x-y

A: Given: D-D'-1D-D'-2z=e3x-y

Q: Find general solution of " – y – 2y = e2t

A:

Q: Solve this DE (D2+2D+2)y = e-xcscx

A:

Q: Find the General Solution: y" - 3y' + 2y =e*

A:

Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: to the equation (D²-1)y(x) = x'-x+1 y(x) = qe" +ce" +x-5x+1 -t yx)=ge" +ce --5x-1 - y(x)=qe'…

A:

Q: What is the general solution of the equation y '(t) = -4y + 6?

A:

Q: 2x e dx 4e2a –8e* +5 -

A:

Q: 5x+2y=-7 y=-7+x How would you solve this simultaneous question using elimination; step by step?

A:

Q: The particular solution of (D³-5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Obtain the general solution. (D^2- 2D + 2)y = 0

A: Using solution of Linear Differential Equations with constant coefficients.

Q: Obtain the general solution.  1. (D4 - 5D2 - 6D - 2) y = 0 2. (D5 - 5D4 + 7D3 + D2 - 8D + 4) y=0

A: According to question, Given differential equation, 1. (D4 - 5D2 - 6D - 2) y = 0 2. (D5 - 5D4 + 7D3…

Q: xy=20 x2+y2=41 Solve nonlinear equations

A: Solve the given nonlinear equations as follows.

Q: find the general solution of the given equation. y" - 64y = 0

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Solve the equation: 8d3y/dx3 -5dy/dx+3y x3, for x, with initial values of (d3y/dx3 (0) = 4) and y…

A:

Q: Find the particular solution. y' = e* - 4; y(0) = 3

A: For a differential equation, there are two parts of solution. one is the complimentary function…

Q: Find the general solution for the equation: D2(D4-16)y = 0 is y = ?

A:

Q: Solve the nonlinear equation f(x) = e*-3x using: %3D

A: Muller method

Q: Find the general solution of EonC(2)'y/n-1),

A: ∑i=0nnCi(2)iy(n-i)

Q: Find the solution. 6y-2y = xy (x-1)+e B -1)-a

A: Solution

Q: Q4: Solve the initial value problem: ty' = 2y + t³

A:

Q: Solve Hhe difforenhal aquahon d3y dx3 2X (I+x)e -7 -

A:

Q: Find the general solution please. (D3 -D)y =-2(1+x)+4ex -6e-x +96e3x

A: Given that the differential equation is     (D3-D)y = -2(1+x)+4ex-6e-x+96e3x  Here we have to find…

Q: (D²-1)y = x-1, solve using Method of Undetermined Coefficient. %3D

A:

Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: The particular solution (yp) of the equation y" - 3y + 2y = 5 e* is yp = -5xe*

A:

Q: Find the general solution 5. (D² – 1)y = 0

A:

Q: The general solution to (D4- 4D2) y = 0 is

A: Given,  D4-4D2y=0

Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

A:

Q: Solve the second order equation (d2y/dx2) = -my  with the boundary conditions y(0) = y(L) = 0, x⋲[0,…

A: Given the second order equation is d2ydx2=-my

Q: Find the general solution (D3-3D2-3D+1)y = 0

A:

Q: Find the solution. D2 - 2D - 3)y = 0; when x = 0, y = 0, y'= 4 A y = e+e3r 3x B y =e-e y = -e-3 - e2…

A:

Q: Find the solution. (D5- 2D3- 202- 3D - 2ly = 0. A y - (e,+ele. O y - (e,+e

A:

Q: Find the solution. (D2 - 2D - 3)y = 0; when x = 0, y = 0, y'= 4 A y = -e-3x – e 2x (B y = e¯+e3x y =…

A: Given differential equation is,   D2-2D-3y=0; y0=0,y'0=4⋯⋯⋯⋯1

Q: find the solution (D^2-d-6)y=0 when x=0, y=0 and x=1, y=e^3

A:

Q: а) у"— 4у"+ 4y'-0 Find the solution of the equation that satisfies y (0) = 0.

A: Since, you have post multiple parts, I am doing first one. Please post again for rest question.…

Q: Find the general solution of the equation 4y'' + 4y' + y = e-t/2

A:

Q: The particular solution of (D³ + 2 D² − 5D - 6)y = 0, when x = = 0, y = 0, y' = 0, y" = 1

A:

Q: (y2-2xy-x2)dx+(2x2)dy        Find the solution of the equation through the point (1,2)

A: We have to find the general solution from the given condition

Q: find the solution of y''-2y'=x - e^3x

A: