What is the integrating factor of (y – cos² x) dx + cos xdy = 0?

Q: An Integration factor of this differential equation is .7 3x? + 1 + x3 dy 1 y : 1+ x2 dx

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Q: Ssin" x 14 x cos' x dx Integrate:

A: Given,        ∫sin14xcos5xdx

Q: What is the integrating factor for the linear differential equation 2(y - 4x^2) dx + x dy = 0?.

A: Given:  2(y - 4x^2) dx + x dy = 0

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

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

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Q: What is the simplest form of the integrating factor for the differential equation y' +…

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Q: x3+ xy² + y)dx + (y³-

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Q: Use integration to find a general solution of the differential equation               dy / dx = 12x2

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Q: Use integration to find a general solution of the differential equation       dy/dx = e2−x

A: dydx= e2-xdydx= e2e-xdy = e2e-xdxThis is variable separable form

Q: Use integration to find a general solution of the differential equation                  dy/dx =…

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Q: The integrating factor of the linear differential equation + (tanx)y = x is, cost log(cosz) secr O…

A: Third option i.e. " secx " is the correct answer. Thankyou !

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: Use integration to find a general solution of the differential equation                  dy / dx =…

A: The given equation is  dy / dx = tan2 x

Q: Use integration to find a general solution of the differential equation                      dy / dx…

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

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

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Q: (6xy)dx + 4y +9x ² )civ = 0

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Q: 2. Integrate: Integration by Parts cos?x dx

A: Given : Integral cos2(x) dx

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: Determine the integrating factor xydy - (y2-3x2)dx = 0

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Q: 1. S ( cos(2x-1) dx (Integration by Parts) et

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Q: 8. dx +x2 Integrate:

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Q: Use integration to find a general solution of the differential equation       dy/dx = cos 2x

A: The given differential equation is  dy/dx = cos 2x.

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

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

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

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Q: Use a technique of integration or a substitution to find an explicit solution of the given…

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Q: Use integration to find a general solution of the differential equation                  dy /dx = x…

A: Given: dydx=x1+x2 Multiply both sides by dx dy=x1+x2dx

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

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Q: Show that the sine integral satisfiesthe (differential) equation xS'(x) + 2S''(x) + xS'''(x) = 0.

A: Given information: Sx=∫0xsinttdt To prove xS'x+2S"x+xS'''x=0

Q: x*y' = -x³y – csc (xy)

A: Given- x4y'=-x3y-cscxy To Find- The general solution of the above differential equation.

Q: Use integration to solve the differential equations where: dy dx 2xv4x2 + 1 1) y' =

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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Q: Use integration to find a general solution of the differential equation                      dy/dx =…

A: Given the differential equation is   dydx = 2x(4x2 + 1).   dy =  2x(4x2 + 1)  dx Integrating on the…

Q: What is the simplest form of the integrating factor for the differential equation y' +…

A: Given: The differential equation is y'+2sec xy=cos2x. To find: The correct option for the…

Q: Integrate: S V1 – cos x dx

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Q: What is the integrating factor for the linear differential equation xy' – 2y = x?

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

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Q: Use integration to find a general solution of the differential equation                dy/dx = sin…

A: given differential equation as dydx= sin 2x or it can be written as dy=sin 2x dx

Q: x e* dx

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Q: Use integration to find a general solution of the differential equation       dy/dx = 2e3x

A: Consider the given differential equation as dydx=2e3x

Q: (y* – xy)dx + (xy³ + x²)dy = 0

A: Solution is given below:

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

A: Given  (x2-y2)dx+(x2-2xy)dy=0