Solve by separation of variables (y +1)dy dx+x(y^2 +2y)= x.

Q: finf dy/dx by implicit differentiation when x^2=(3x+6y)/(3x-6y).

A: The given function is: x2=3x+6y3x-6y

Q: solve using Separation of Variables. dy dt = ry-3

A:

Q: 5. Find of the parameters: x = sin 2t and y = - cost at t = dx %3D

A: Topic = Derivative

Q: sec( c)+y dy e sec do

A: Given differential equation is homogeneous equation

Q: Integrate:  (5e^-3x - cos (6x))dx

A: Integrate

Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: 4. |1- sin2y dy 6. y +2)/y- 1) dy (y + 2)/y

A:

Q: dN + N = Ntet+2 dt

A:

Q: Integrate SxIn x)dy

A:

Q: Use separation of variable to find  dy/dx= x^1/y y(x)=?

A: dy/dx= x^1/y y(x)=?

Q: Solve (Vr) = sec (Vx) using variable separable form. dy dx

A:

Q: Find dy/dx by implicit differentiation. 6/(x^6) + 6/(y^6) = 14

A: We have to find dy/dx by implicit differentiation.

Q: = vt – 2, d²y t – 2. d²y y = t² – 3' dx2

A: x=t-2y=t2-3

Q: Find dy/dx of y=sin-(1/,). 9x-

A:

Q: 3 4-y y dx dy = 1 2y MIN

A:

Q: Describe a first step in integrating x10 – 2r4 + 10x² + 1 -dx. 3x3

A:

Q: Q2 Integrate by parts: ex sin x dx

A: find ∫exsinxdx we know, ∫u.vdx=u∫vdx-∫dudx∫vdx now, apply this on equation I=∫exsinxdx…

Q: Find dy/dx by implicit differentiation. 3x2 - 3y2 = 16 %3D dy/dx =

A:

Q: Differentiate. y =x° In x- dy II

A:

Q: ди ди x====u+Yay ?х

A:

Q: Find dy/dx by implicit differentiation. 2(x^2+y^2)^2 = 25(x^2-y^2)

A:

Q: dy/dx of y=sec^-1 (5x)

A:

Q: 7) y = exz 8) y = 3 x ²

A:

Q: Find dy/dx by implicit differentiation. 2x3 + 3y3 = 64

A: Given: 2x3+3y3=64 for finding dydx, we differentiate given expression

Q: (a) --y = 2x?y, y(1) = 1 dy dx

A:

Q: (continue solution of de) (2ysinxcosx - y + 2y²e*Y" )dx = (x - sin²x - 4xye*y" )dy

A: Using method of exact differential equation.

Q: (3 sin y – 5x)dx + 2x2 cot y dy = 0 -

A: Solution :-

Q: 2sin(y)cos(y) sint(y)+costy) dy

A:

Q: 1 a) x²e-x dx

A: Use the formula of integration by part and finally put the limit  to got the answer

Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

A:

Q: Find dy/dx by implicit differentiation. 9x2 + y2 = 4 dy/dx = %3D

A: Topic:- Differentiation

Q: Find dy/dx of x siny + y = 4x + 3

A:

Q: 1 of 1 dy -3-9x, y'6)=8, dx² ylo)=2 %3D

A:

Q: 2. [ y dy dx carctan3/2 3 secx 3/2

A: Topic  = Integration

Q: ex dx

A:

Q: Give the integrating factor for 3((y^4)+1)dx+4x(y^3)dy=0. (in terms of x)

A:

Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

A:

Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: for dx

A: Given integration is : ∫exdx To find the value given integration by parts.

Q: dy Differentiate implicitly to find dx exy 2x+9y+3

A:

Q: Calculate •3 2x -dx et – 1 - -3 by Gaussian quadrature with n = 3.

A:

Q: The rate at which the total average of COVID cases is dx increasing at x = 10 tents and = 1 tent per…

A:

Q: (0.2t25x+3x²) dx

A: We have to find the value of ∫050.2+25x+3x2dx using the Trapezoidal rule We take that the number of…

Q: Find the integrating factor of dy/dx +2ytanx=sinx

A:

Q: Integrate: xー1 dx 2.

A:

Q: Find dy/dx of sin^2(3y)=x+y at (2 - pi)/4 , pi/4

A:

Q: Differentiate the function. 1 y3= (2x +3) dy dx

A:

Q: dy sin: 8. x +2y = dx y(2) = 1

A:

Q: 1 dy if y = dx -1 Find - tan 3x. dy dax

A: Use derivative formula