Find the integrating factor of (x² - y²)dx + (x² - 2xy)dy = 0

Q: find the integrating factor of cos(x)y'+sin (x)y=2cos^3(x)sin(x)-1

A:

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: We have to find the solution

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: Proceed as shown below...

Q: The integrating factor of y= 2x' is dx

A:

Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

Q: Evaluate the double integral : (y³ – 12x) dx dy -

A:

Q: Use integration to find a general solution of the differential equation.

A:

Q: (10) Find x²e*y dx dy. (Hint: Reverse order of integration.)

A:

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: The given differential equation is: dydt=45t4

Q: The integration of dx is 4+x²

A: The given integral ∫dx4+x2 can be evaluated as, ∫dx4+x2=∫dxx2+22                =12tan-1x2+C…

Q: Find dy/dx by implicit differentiation. 8.r2y+ 5yr = -9 y 5y + 16x 2x 4x + 5y dy/dx = %3D

A: Recall: d(u.v)dx=udvdx+ dudxv d(xn)dx=n xn-1 d(c)dx=0 ; where 'c' is any constant.

Q: What is the integrating factor y x² = 2 (2x - y)?

A: The given equation is; y'=2(2x-y).

Q: The integrating factor of the linear DE of order one + y csc x = sin x is dx

A:

Q: This is a linear DE. If arranged to its form, what is the integrating factor? * xdy ニ

A:

Q: What is the integrating factor of xy' + 6y = 3xy3?

A:

Q: In x 2. Integrate -dx , (i) using the sub stitution u = Inx (ii) using integration by parts.

A: Integrate by substitutions and by parts

Q: (6xy)dx + 4y +9x ² )civ = 0

A:

Q: Show that cos x is the integrating factor of the linear differential equation dy/dx= sec x+y tan x

A: Integrating factors are useful for solving ordinary differential equation  that can be expressed in…

Q: Find the total differential w = x2yz2 + sin yz

A: Partially differentiate w = x2yz2 + sin yz with respect to x and keep y and z as constants.…

Q: Find the particular solution by means of integration factor method if: (x* +1) +3x(y-1)=0 where y(1)…

A:

Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

A:

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A:

Q: Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

A:

Q: find dy/dx by implicit differentiation.  1. xy + 2x + 3y = 1  2. x3 + 4xy - 3y^(4/3)=2x

A: Since there are two questions posted, we will answer the first question (1).If you want the second…

Q: 8. dx +x2 Integrate:

A:

Q: Find the Integrating Factor of dy + 2ytanx = sinx dx

A: This is 1st Order Linear Differential Equation.

Q: The integrating factor of Y + 3y cscx= cotx is?

A: Consider the given differential equation, y'+3ycscx=cotx This is the first order linear differential…

Q: 4. Evaluate e*dx using integration by parts.

A: Explanation and solutions is given below.....

Q: Find the integrating factor: cos⁡ x dy+[(y sin⁡x )-1]dx=0

A:

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

A:

Q: Find the general solution of'the differential equation and check the result by differentiation. (Use…

A:

Q: The Integrating factor of the equation (x²y³ + xy) dy dx 1 is

A: We have to find the integration factor of the equation x2y3+xydydx=1. We know that integrating…

Q: Integrate f dx using integration by parts. x+1

A: Please refer the attached image for complete solution.

Q: 5. The integrating factor of the di equation 2y dx + (x- x^3 y^3) O x*3 y^2 O Does not exist

A:

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: First Solve differential equations ,

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A:

Q: Find the differential dy when x = 3 and dx = 0.2 %3D

A: When you get function of function form to differentiate, we use the chain rule. y = f(g(x)) dy/dx =…

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

A:

Q: Integrate J dx X(x-3)

A:

Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

A:

Q: The integrating factor of the equation (2 + y + x) dx + xydy = 0 is

A:

Q: . Use separable equations to find the general and particular solution of xy dx – (x +

A:

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

A:

Q: (In x) dx Integrate: 1

A:

Q: x e* dx

A:

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: ∫tndt = t(n+1)/(n+1) +C ,C is a constant and for any real number n. d/dt (tn)= nt(n-1) , for any…

Q: (y* – xy)dx + (xy³ + x²)dy = 0

A: Solution is given below: