Solve the d.e. using Method of Undetermined Coefficients (MUC) (D² – 3D – 4)y = 30e4x ||

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

A:

Q: (D-2D')? z =2x +y

A: In this question f(D,D')=(D-2D')2. To find the solution of the given partial differential equation…

Q: A. Obtained the general solution. E... 10. (D² – 3D + 2)y = 3x²

A:

Q: Find the linear first equations 15 3 ydx+ (xy+2x-2y)dy3D0

A:

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

A:

Q: + y²(x+ 1)² = C

A:

Q: Solve, (2x+3y-2)dx+(3x-4y+1)dy = 0 %3D

A:

Q: A 1 x る8 %3D 은 AB=C Find X+g?

A:

Q: –dx (1 +x) (x+1)Vx² +2x-2

A:

Q: Solve (D5 – 2D4 + 4D³ – 8D²) y = 48e-2 16 sin (2x) - = A- B I = E E E P & O

A:

Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: a va?-x? a²-x² (x + y) dydx

A: We have to find the value of given intregation.

Q: (t-3)√6t-t² dt

A: To evaluate the given integral.

Q: S,(2x-y)dxdydz

A: Consider the integral: ∫12∫0z2∫0y-z2x-ydxdydz

Q: Solue the fallowing d ffe ren tral equation

A:

Q: Determine for which values of m the function (x) = xm is a solution to the given equation. d²y dy -…

A:

Q: Solve the following first order equations: (a) (x²y² + 1)dr + 2r²dy = 0, use the substitution ry =…

A: We have to solve 1st order differential equation using substitution xy = u.

Q: (t+6)2 dt

A: Given,

Q: Find the general solution to(D5 - 2D3 – 2D2 – 3D - 2)y=0

A:

Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: O Solve (ex+y)dx+(2+x+ye¹)dy=0

A: The given problem is to solve the given ordinary differential equation. We have to the exactness of…

Q: Find the change of variable x = Py that transforms the quadratic form x Ax into y Dy as shown. -…

A:

Q: Find the foci for (x-6)² 9 + (y-7)² 25 ww▪▪▪▪▪▪▪ 1

A:

Q: Find the BxA where A=3j-i-2K and B= 5i+-3K

A:

Q: 4dx + (x – y+ 2)²dy = 0

A:

Q: A. Using the basic formulas, integrate the following: 1. fx(x² +2)²dx 2. S(2V – 3x)²dx 3. fx³Vxdx 4.…

A: Note: As per our guidelines we are supposed to answer only 3 sub parts under one question. kindly…

Q: Find all solutions to the equation (D² – 3D + 2)y(x) = 2e³".

A: Given differential equation is (D2 - 3D + 2)y(x) = 2e3x

Q: Find y′′ y = -3x4(4x+6)2

A: Recall: Power rule; dxndx=nxn-1 Given, y = -3x4(4x+6)2

Q: Find S x² + vx – 2 dx

A: We need to evaluate the following integral.

Q: (D3 + 30² -4)y=Do

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…