SOLVE THE FOLLOWING NON-HOMGENOUS LINEAR DIFFERENTIAL EQUATION. (D² – 8D + 2)y = 2x³ – 9x² – 6cosx - -

Q: Is y=e2x +4x+3 a solution to the differential equation shown below? y′−2y=−8x−2

A: To test if the given function is a solution of the given differential equation

Q: y" – 3y' + 2y = 2x² + e* + 2xe* + 4e3x

A: Given

Q: Obtain the solution of the following differential equations. 7. xy′ − y − 5x^4 − 3x^2 + 2x = 0

A:

Q: ( D3 + 6D? + 25D ) y = 0

A: Given: D3+6D2+25Dy=0

Q: Find the solution of the following differential equation. 4. 2a* y' = y (y² +3x²)

A: To find  The solution of the given differential equation.

Q: Solve the following Second Order Differential Equation y ^'' − 10y^'+ 25y = 30x + 3

A: GivenSecond order  differential equation is given       y''-10y'+25y=30x+3.To calculate:- Solution…

Q: The general solution of the following differential equation y(4) – 16y = 32x %3D | is:

A: Solution-

Q: Give the Particular Solution of the following Differential Equation d²y 3 +2 dx² IBC: y(0) = 2 y'(0)…

A: The given differential equation is: 3d2ydx2+2dydx-8y=0 So, we can also write as; 3D2+2D-8y=0   The…

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^6 + 8D^4 + 16D^2)y = 0

A:

Q: find the general solution of the following differential equation x2D2y + xDy + 9y = 0

A:

Q: Solve the following differential equation i) y’’+10y’+21y = 0 ii) y’’ - 3y’ + 4y = 0 iii) y’’ + 4y’…

A: (i) The given DE is y''+10y'+21y=0. The characteristic equation of the DE is m2+10m+21=0. Solve the…

Q: 2. Solve the following 4th order linear differential equations using undetermined coefficients: y…

A: We need to solve D.E.

Q: 2. Solve the following Second Order Differential Equation y" – 10y/ + 25y = 30x + 3

A:

Q: (D³ - 2D + 4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

A:

Q: Solve the following homogenous linear differential equation: (D^6+6D^4+9D^2)y=0

A: To solve the given differential equation

Q: Which of the following is a solution of the differential equation xy' + y = 4x? y = 2x - 7x-1 Oy =…

A:

Q: Solve the following second-order differential equation d²y 3x2. dx2 dy 12x+ 18y = 6xe¯* + 15. dx Use…

A:

Q: 2x³y' = y (y² + 3x²)

A: Topic = Differential equation

Q: Find the general solution of the following homogenous differential equation.…

A:

Q: 2. (D? — 2D + 5) у %3 25x² + 12

A:

Q: Use the method of undetermined coefficients to find a particular solution of the differential…

A: Given information: y'' +10y' -11y=4e-11x

Q: Solve the following differential equations by linear method. dy + 2.xy = 0 dx 6.26. у - 3xу %3D0…

A:

Q: Q5. B. Solve the following first order differential equation using Linear method? 1) = -1/2 ty' + 2y…

A: Given : A first-order linear differential equation ty'+2y=t2-t+1 with y1=12 To find the solution of…

Q: Find the general solution to the following separable differential equation: 7yy' = 3x. 03x² + 7y² =…

A:

Q: Which of the following is a solution of the differential equation xy' + y = 16x? Oy = 8x – 3x1 Oy =…

A: xy'+y = 16x⇒xdydx+y = 16x⇒x dy +ydx = 16x dx⇒d(xy) = 16x dxIntegrating both sides , we have ∫d(xy) =…

Q: Find the general solution of the following differential equation 3x(x + 6y)y' = 3y(x - 6y)

A:

Q: 1. (D³+2D25D-6)y = 0

A:

Q: 6. (D² –1)y=2(1-e-2x)-1/2

A: Solution is given below:

Q: Solve the following Second Order Differential Equation 5y" + 6y + 7y = 0

A: This is second degree homogeneous differential equation so solve like follow.

Q: Solve the following differential equations of y" +4y'+3y=3e²x;

A:

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE SOLUTION.…

A: The given differential equation is: D3-7D+6y=0 So, the auxiliary equation is: m3-7m+6=0

Q: (D² - 4D + 4)y = 0; when x = 0, y = 1, Dy = - 1.

A:

Q: Solve the following 2nd order Linear homogeneous /non-homogenous differential equation?…

A: Second- Order Linear non-homogeneous differential equation has the form of:  ay''+by'+cy=g(x) The…

Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE…

A: We have to find the general solution of the non-homogeneous differential equation…

Q: y" + 4y = 3 csc²(2t)

A:

Q: 3) y"-5=3e"-2x+1

A:

Q: Find a particular solution of the following differential equation. y" – 3y' – 4y = 3e2t

A: if differential equation,                   f(D)y=eat  then Particular solution =(1/f(D)) eat  if…

Q: Solve the following first order linear differential equations.   y' +2xy = 4x

A:

Q: 4. 2a y' = y (y² + 3x²)

A: Given:- 2x3y' = y(y2+3x2)  To find:- General solution of given differential equation

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE SOLUTION.…

A:

Q: y" - 3y' + 2y = 2x² + ex + 2xe* +4e³x

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other…

Q: Find the general solution of the following differential equation. a*y" + x²y" – 2.ry' + 2y = 2x² -

A:

Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION: (D^2+4)y=4cot2x

A:

Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. 1. (D² - 2D + 2)y=e²x (cosx -…

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: 1. (D² – 2D – 3)y= 64xe³x

A: Given (D2-2D-3)y=64xe3x

Q: Solve the following non-homogeneous Differential Equation: y"-2y'-3y = 4x-5+6xe2x

A: To find the solution of the given non-homogeneous differential equation, first we find the  yh…

Q: 2) -y = 3 -x³y²

A:

Q: Solve the following differential equations: (b) y-6y'v. with y(1) =1 and y'(1)=-2.

A:

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. 1. (D³ - 5D² + 3D + 9)y = 0

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: (3x2 — 2у?)у' - 2ху %3D 0

A: The solution to this differential equation follows as: