X y fxy(x, y) -1 -2 1/8

Q: 4 r°tan|r (r*)dr 4 5+3 ln cos (r

A:

Q: dx J (x² + 2x – 10)²

A:

Q: 3y3 (2y+3) (y-5)

A: The given expression is

Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: 3(y-2) 1- 3y

A:

Q: 2x + 1 (b) √ ² (1 − x) -dx

A:

Q: x6(xy)² xy-1 If Find: a = b= is equal to xayb

A:

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: 2dy Уу+16)

A: Solution of question as follows

Q: av2 (x³ – 2)(2a? – x²)2 dx

A:

Q: (x - 3 bxy + 2 b?y?) (xdx + ydy) = xdy-ydx %3D

A:

Q: y = (1– 2x) ;y" ¡y"

A:

Q: D2 – 5D +6)y=3xex+2x2 , y(0)=0,y,(0)=1

A: Given differential equation is homogeneous ordinary differential equation. To solve this equation…

Q: factorise (c) x - - 3x - 4x + 12 (f) x'y – 4xy

A:

Q: Differentiate y = 21/2 4 - x (4 – x³)'"2 -

A:

Q: х3 (2 — х?)1?dx x3 dx 1 — 2х2 1 x²dx Vx2 + 4

A: ∫un du = un+1n+1+C ∫a2+x2 dx = xx2+a22+a22sin h-1x2+C ∫1x2+a2 dx = sin h-1xa+C

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: 2y3(5y3-3y2+6y)

A: It the given that, the multiplication expression,

Q: Dª + 4D³ – 3D² − 2D + 1)y = 0

A:

Q: (x + 2)³ y = (x² – 4) ||

A: a2-b2 =(a-b)(a+b)

Q: (9) [xV1-2х dx

A:

Q: xy – 3y + 3x² – 9x =

A:

Q: xy 2y + +1

A: