Solve the following equation: (X² + y²) dx = 8 (XY)dy, and find the value of y at x = 5 where y = 0 at x = 3.

Q: Solve (2x – –10y°) +y=0

A: Given the differential equation          2x-10y3dydx+y=0

Q: Solve for y: x/4 + y/9 = 1

A:

Q: Suppose y = 5x²+7x. Finc

A:

Q: find dy. y = 3 csc (1 - 2√x)

A: We use the chain rule

Q: Q2: solve the equation 3 dx 2х * dy y

A:

Q: Find dy. 3 y=³√√x (6-5x).

A: Given query is to find differential.

Q: Find dy for y = (8x + 1)2. dy = (Simplify your answer.) %3D

A:

Q: Find dydx for the function y=3x.

A:

Q: find dy. y =2√x/3(1 + √x)

A: we have to find the derivative y=2x3(1+x)

Q: Solve for y: x=2y+1/3y-3 y=

A: Given equation is

Q: Find if y = (x² – 1) (x³ + 2). dx

A: We expand the given expression and then use power rule to find the derivative.

Q: Solve: y(4xy + 1)dx + x(1+4xy – x³y³)dy = 0;

A:

Q: Q.2) a) Solve (D² + 1)y = 3x – 8 cot x where D %3D dx

A:

Q: Determine whether the equation (3x + 2y)dx + (2.x + y)dy = 0 is exact. Find the solution if it is…

A:

Q: 1 = f(y-x(2-x))dx 21

A: Given: I=∫02δy-x2-x dxTo find: The value of the given integral.

Q: solve the following equation y(2x – 2xy+ 1)dx+ (x- 2y)dy = 0 %3D

A:

Q: Find the value of x² – 9x + 14 dx =

A:

Q: 2 7 Find day if y= 2² +1 and t=x²-4 dx2 das

A:

Q: Q.2: Evaluate: -2 2 dx 1 I = x2 - 8.

A:

Q: Determine dy/dx for the equation 5x3+7xy- 3y5 = 9 .

A: To find the derivative (d y / d x).

Q: Find dy for y = (4x +2)2. dy = (Simplify your answer.)

A: