6. y = x2 is a solution for which differentia

Q: General solution of 2xydx+y^2dy=0

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Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

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Q: 4. Solve the particular solution of y" + 3y' + 2y = 6e¬, y(0) = 1, y'(0) = 2, using a. Variation of…

A: we have given the differential equation y"+3y'+2y=6e-ty(0) = 1, y'(0) =2 we have to find the…

Q: Show that y = ex + 3xex  is a solution of y"-2y'+y=0

A: The given differential equation is,

Q: Find the formulation of a particular solution of y" + 3y' +2y = 3+t2 – te-2t cost without…

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Q: x(x – 2)y" + 2(x – 1)y' – 2y = 0

A: Solution: x(x-2)y"+2(x-1)y'-2y=0 Solve using the series method: A linear homogeneous ODE with…

Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: particular

A: We find particular solution.

Q: Give a particular solution for y"– 2y' + y = ; ex 1+x2

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Q: If y' = х-у then its solution is x+y'

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Q: Solve a & b with given A[r = 3x şax+ (y + z + 3) Ay +(6x - z³) a₂] where: np = ax + 4ay - 2az 2+y³

A: Given

Q: Obtain general solution of y' = y + y^3.

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Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: .1) The general solution of the equation y" + y =-5e- , is: - y(x) = Ce-* + ez(Acosx + Bsinx) -e-* O…

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Q: Give a particular solution for y" – 2y' + y = 3e*.

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Q: 7. Solve the boundary-value problem: y" + 3y = 6x, y(0) + y'(0) = 0, y(1) = 0

A: The boundary value problem is y''+3y=6x Subject to y0+y'0=0, y1=0

Q: If y = e2t is a solution to y" – 5y' + ay=0 then a=

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Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: !Solve the boundary-value problem y" +9y = 0, y(0) = -3 and y(/3) = 2.

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Q: 19. Show that yı = 1 and y2 = /x are solutions of yy" + (y')² = 0, but that their sum y = y1 + y2 is…

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Q: What is the general solution of xydx−(x2+3y2)dy=0

A: Topic :- Differential equation

Q: Give a particular solution for y" – 2y' + y = 1+x2

A: Given that a differential equations - y" -2y' +y = ex/1+x2.   We know that integration of 1/(a2 +x2)…

Q: Solve the initia value problem: dy 1 and y(1) = 1. dr

A: To solve the initial value problem dydx=x-1x    and    y1=1

Q: Use variation of parameters to find a particular solution of 14aie" 3 y" – 2y' + y - Yp(x)

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Q: 3. Show that y = 5x2 +2 is a solution to the DE ry' +y" = 2y.

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Q: What is the solution to the initial – value problem : 4x²y" + 4xy' – y = 0 with y(4) = 2 and y'(4) =…

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Q: 12. If R(x) = e'V(x) then particular solution is

A: To  find  →  1f(D)  ex  V(x)              is particular integralSolution               Let  ,   w is…

Q: 4. Find the number of non negative solutions to x + y + z = 21. With the conditions that x > 3, y >…

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Q: 3. Find the particular solution of the linear equation dy + -y = dr 1. if y(1) = 0.

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Q: 4. Write the solution of i = -y, ý = x, x(0) = 1, y(0) = 0 %3D

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Q: Use Variation of Parameters to obtain the General Solution 1. y +4y 4-sx2x

A: Solve the given problem.

Q: a*y, u (a, х, 2х + 2 Uz + xUy = x²y, 5x

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Q: Give a particular solution for y" – 2y' + y = ex 1+x2

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Q: ) Give a particular solution for y" – 2y' + y = 1+x² *

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Q: (7) Find the general solution to y = (x +y + 1)

A: Given differential equation is: dydx=x+y+1 Let us assume x+y=t 1+dydx=dtdxdydx=dtdx-1…

Q: Obtain the particular solution of x²y" + xy' = 1; y = 0 and y' = 1/2, when x = 1

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Q: b) Give a particular solution for y" – 2y' + y = et - 1+x2

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Q: Q9 Solution of + (x + 2) y² = 0 using separation variable is 1 1 y +2x+c y = 2x- 2 22 +c 1 +2x+c…

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Q: 5. Use variation of parameters method to solve а. a. y" – 2y' + y = 1+x2

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Q: 6- Show that y = xsinx is a solution to y +y 2cosx

A: The given differential equation is: y''+y=2 cos x

Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

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Q: Find the particular solution to y''-y'+y = 2sin(3x)

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Q: 5. The particular solution of y' + y = y¯² when x = 0,y = 2 is

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Q: 6- Show that y = xsinx is a solution to y= + y = 2cosx

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Q: Give a particular solution for y" – 2y' + y = 3e*

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Q: 10. Find the particular solution that satisfies the initial condition. xy'+ 2y = 3x² – 5x. Initial…

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Q: Is it true that the solution set for x ≥ 0 is placed above the y – axis?

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Q: 4. Verify that y=cx+e² +1 is a solution of the equation y=y'x+(y')' +1.

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