y"' + 9y" - 10y = x e*+9

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: b. S 2*³-4x²-x-3 dx х2-2х-3

A: First we divide the polynomial  using long division

Q: dy −2r — 9 (a) Show that = dx x + 2y (b) Find the two points where the curve given by the original…

A: Given- Consider the equation x2 + xy + y2 = 19.  To find-  Show that dydx = -2x - yx + 2y.  Find…

Q: 3t 2x"-2x'-4x = 2e" 5.

A:

Q: y^−2−y^−1−30=0

A:

Q: (b) x2n - 2,5n1/3 Ay-n₁ 5n + 4,-n X

A:

Q: 2 Cy")" ^ + Cy")° 3y = 0

A:

Q: 2x 入t]

A:

Q: Differentiate y = 5/x4 - x3 + 1.

A: We need to differentiate y = 5/x4 - x3 + 1.

Q: x^(2) two units to the left seven units up and reflected in the x axis

A:

Q: Differentiate x³ - 1 y = x* + 1

A:

Q: 2.) (6x*y+z")² 10

A:

Q: -2 x" = x12 n3D

A:

Q: 21/x - x = 4

A: To solve: The equation 21x-x=4. Calculation: The solution of equation 21x-x=4 can be obtained as,…

Q: x^2y=4+Cy Eliminate Arbitrary Constant

A:

Q: ²4 -64x y ||

A: Given, -64x9y243  = ?

Q: Simplify (5x'yz)

A: Given, (5x3y-2z4)3

Q: If x^2 + y^2 =14 and x+y=6, find xy.

A: Solution :  Given that   x2 + y2 = 14    ---(1) and  x + y = 6   ---(2)

Q: Differentiate y=(3x+1)2

A: Given,

Q: Vz? – 25 4. -dz

A: use substitution method for solving the integral.

Q: - 10x²y* 15x'y-3 Simplify: 7,,-3

A: Given,  −10x2y415x7y−3Formula→anam=an−m