(2x + Зу — 5)dx + (3x — у — 2)dy 3D0

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

A:

Q: Solve using Gaussian method 2x+y+2z-4w=10 x+3y+2z-11w=17 3x+y+7z-21w=0

A: Given:

Q: Solve for X,Y and Z:  3x + y − z = 11x + 3y = z + 13x + y − 3z = 11

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Q: Solve the dff oq 2. 3. 3. %3D 1

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Q: Solve the linear equation by using Cramer's rule: 2x+3y-4z=-3.... .(1) x+2y+3z=3... Зx-у-z-6....…

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Q: Solve Ytt = = 4yxx 0 0 Yx(0, t) = 0, Yx(1, t) = 0, Y (x, 0) = 0, y(x, 0) = 3cos(2nx)

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Q: y" + y' - 3y = 4sin 2x

A:

Q: 5-4y2 dy 3+2y

A: To evaluate ∫5-4y23+2ydy

Q: (9x-4y+4)dx-(2x-y+1)dy=0

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Q: Solve using separation of variables:   y'-xy+y=2y

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Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: Find the general solution of the equation by the variation of parameters method: y" – 2y'+ y = æ 2e"

A: We use the procedure of method of variation of parameters.

Q: Find y, of+ 3+2y 14x2 + 42x + 6 d'y dx a.) y, = 7x2-4 b.) y, = 7x2 + x-5 c.) yp 7x2-x- 3 d.) y, =…

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Q: Solve for x: xy2 + yz2 - 4 = 2x - 1. 3-yz2 b) х %3D у2-2 a) x = *y^tyz2-3 2 с) х %3D 3 — yz2 -у? +2…

A: Consider the given expression.

Q: 4. Solve for the general solution of --y = x²y? a. y-1 = Ce* - 12e* b. y-1 = Cex - 10e2x c. y-1 =…

A: Given that, The differential equation is following, dydx-2xy=x2y2 We have to find the general…

Q: 3y = 3xy' + y'3

A: Solution: Here 3y=3xy'+y'3 Divide both sides by 3 y=xy'+13y'3   ......(1) Let dydx=P Then from…

Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x)  =-3x3+2x2-3x+5

Q: Solve using D-Operator 3. y + 2y + y = x²

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Q: e2x-ydx + ey-2×dy = 0

A: e2x-ydx+ey-2xdy=0⇒e2x-y+ey-2xdydx=0Substitute  dydx with y' ⇒e2x-y+ey-2xy' =0⇒e2yy'…

Q: Solve using MUC: '-8y + 16y=2(x+12) 3 y= C, e^X + C,xeAX + 8. X- 2 7 3 y=C; eX + C,xe^* + 7 X- 2 B…

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Q: Use the method of separation of variables to solve : xyu̟ +2u, = 0, Q.4 U(x,0) = 3x*.

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Q: Solve. Vy +4 - y+2 = 0 3. Solve. Vĩ +1 = Vx +2 2.

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Q: Find the general solution and the particular equation of the Equation Linear 2ª order given the…

A: We have to be find solution

Q: solve: [Cax+3)*D²+6(2z+3)D +bJ y 18log (az+3) Answer 7 = fA cos (2243 alog caz+3) –4 +BBin/ x+3 22+3

A: It is an Cauchy Euler differential equation

Q: Solve for x, y z from X - 1 1 2 Z 3. 6 6

A: 2x-113y=2z66

Q: 6. dy 2 y (1-√y) ²

A: Given integral ∫dyy(1-y)2 The objective is to evaluate the integral.

Q: S: - V dx 2x - √x + 4 VX

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Q: solve 2 (pedoe tydy +2d₂) ² 2 = {(2²-x²=y²2) (seds tydy + z dz/d2} z

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Q: |2/2r| 2, dx -1

A: Let I is the value of given Integral.

Q: A. y– 2y +1 = (x + 1)e²x

A: To solve the given differential equation using method of variation of parameters.

Q: Solve using method of variation of parameters: y" + 2y' - 8y = 2e-2x - ex, y(0) = 1, y'(0) = 0.

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Q: Solve, using the method of variation of parameters: et y" – 2y' + y = - 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: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

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Q: Find the Particular Solution indicated. (Homogenous Linear Equation with Constant Coeffiecients)

A: Given : Homogenous Linear Differential Equation with Constant Coefficients               D2+D-12y=0…

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: 11. Perpendicular to 5y = 2x – 6 and passes through the point (-1, 5)

A: topic - equation of a line perpendicular to given line

Q: Solve using Gaussian method 5x+2y+z=-11 2x-3y-z=17 7x-y=12

A: Consider the system of equation.Rewrite the system of the equation in matrix form as follows.

Q: 3. Solve using the method of variation of parameters 1 y" + 3y' + 2y 1+ e*

A: First I have find the auxiliary equation and using it find the complementary function and then by…

Q: 4-y² ²) dædy 2 2

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Q: general solution of (D2-1)y=2/1+ex

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Q: Use separation of variables to find an explicit solution. xyy' = 2xy 2 2 + y?

A: using seperation of variables  and then integrate....

Q: Solve using elimination x + y + z= 6 5x + 2y + 3z =8 6x + 3y + 8z = 10

A: The equations are given by,

Q: Find general solution of DE by both methods (independent variable missing and dependent variable…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Show solution how to find d2y/dx2 , d3y/dx3 , and d4y/dx4  when The given is x = t3 + t and y =…

A: Given: Show solution how to find d2y/dx2 , d3y/dx3 , and d4y/dx4  when The given is x = t3 + t and y…

Q: Solve using variation of parameters: y" – 2y' + y = -

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Q: ng through the point that is ion. 10. (-3, -2); y = x – 2 12. (-1, -6); r + 3y = 6

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Q: What is the general solution to y''+y=0. Show the solution.

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Q: Find the particular solution of (d2y/dx2) = 4x3 - 2x; y' = 4/5 and y = 1 when x = 1

A: Given differential equation, d2ydx2=4x3-2x       ...(1) y'=45 and y=1 when x=1