Obtain the general solution of 25y" + 30y' + 9y = 0. %3D y = C1xe" + C2x²e Y = C1e¯5ª + C2xe¯" -3x O y= C1e¬3æ + C2e-5æ y = Cje¯3* + Ce-3¤

Q: {3x+y=-3 2x+3y=5 (X,y) =

A: Given: 3x+y=-32x+3y=5 To Find: The value of x,y.

Q: Solve y" - 2y + 17y=0

A: If the roots of the characteristics equation are complex numbers a±bi, then the general solution of…

Q: lim _{x\to \infty }\frac{\sqrt{x^2+1}+\sqrt{x}}{\sqrt[4]{x^3+x}-x}

A:

Q: 1. (D2 + 2D + 4)y = 8x? + 12e-*

A:

Q: 1-7ӕ + 3 | dx 4.

A: To evaluate the integral: ∫1-7x+x3xdx. Solution: Evaluating the integral.…

Q: (1+ ye" + xye")dæ + (xe² + 2)dy = 0 C = xye² + 2y+ x C = xye" – 2y – x %3D - Option 3 O Option 4 C =…

A: ANSWER: Option 3.

Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: dy if y= 3x Find dx х2+1 3(1-х2) D) (x2+1)2 3x2-3 A) 3. 3 B) 2x C) (x2+ 1)2 х2 +1

A:

Q: 2y" – 7y" + 12y' + 8y = 0

A:

Q: 1. 5х2у" + 23ху' + 16.2у —D 0 2. х?у" + 0.7ху' — 0.1у %3D 0 3. х2у" — 0.7ху — 0.1у %3D0 |

A: Given

Q: (3y-2 Jdy y+2y+17

A: Topic:- integration

Q: dx Vx -9

A:

Q: Find the general solution for each of the following DEs i) y"'" + 4y" – 5y = 0

A: Given

Q: 35. Solve this auxiliary DE y"" – y" – 4y = 0,when x = 4, y = 0

A:

Q: 8. (D2- 2D+ 1)y = xlnx

A:

Q: Solve for x: 3x -y = 2 - 3y 2-4y ox = V +2 %3D 2-2y %D 3 - %3D 3. O x = 2 - 2y - 3 3.

A: Let us consider an equation ax+by=c  Then solution for x is given as, x= (c-by)/a

Q: 5. Solve IVP у" - 4y" + 7y - бу %3D 0, у(0) %3D 1, у'(0) — 0, у" (0) — 0

A: See the attachment

Q: Solve y" +3y' + 2y = 0

A:

Q: y" +y = 2xsinx

A: Let's find.

Q: -4 -3 2 -1 -1 4 -2. -3+ y = x2 - 4 A y = x2 - 4x y = x'- 4 y = 23 4x - ©2021 Illuminate Education…

A: our answer is y=x3-4x

Q: Solve د. سامان سایت رندار 4- (3x2 + 6xy2)dx + (6x2y + 4y3)dy = 0

A:

Q: y(4) + 3y" - 4y = 0

A:

Q: let y = -3 x¹-2x, find y' -12 x4-2 -12 x³ -2 Onone of these answers O-4x³ - 2

A: Given: y=-3x4-2x

Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

A:

Q: This is incorrect, also please type your answer or write clearly

A: Double integral We can solve this double integration by conversion from cartesian to polar.

Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3