The integrating factor of the LDE y' = x - 2ycotx is

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

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Q: Find the derivative of In(3t³ – 2t + 1) and then calculate S; + 3 dt (use integration by…

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

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

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Q: Find the derivative of y = = Ve-5t +1 dy dt ||

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Q: Compute the derivative: 3 | Vsin t dt dx

A: To find ddx∫x3sin t dt We know that, ddx∫u(x)v(x)f(t) dt = f(v(x))v'(x)-f(u(x))u'(x) Then, we have,…

Q: Determine the anti-derivative of Y = 2e3x +5 and use the fact that y(0) = 7 to %3D dx determine c,…

A: We first separate the variables and then integrate  c= integrating constant Formula used:

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: Integrate SxIn x)dy

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Q: Find the third derivative of ƒ (z) = VT2z+I. f" (z) =

A: We use the exponent rule and chain rule.

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

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

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

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Q: 16. ху : Vx2 + y?

A: Using implicit differentiation.

Q: What is an integrating factor of the nonexact DE  (2y^2 + 3x) dx + xydy = 0 ?

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

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Q: |х — 1 x5

A: Use the method of substitution to evaluate the integral. I=∫x−1x5dx=∫x−1x52dxLet u=xdu=12xdxSo,…

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

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Q: dy cosx+ ysin x =1 dx

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Q: If y = eex the y' - y" + exy' is equal to?

A: The given equation is y=eex

Q: Find dy/dx by implicit differentiation. 8x3 + 9y3 = 66 dy/dx =

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Q: 5. – 3t te dt

A: The given integral is: I=∫t e-3t dt

Q: Find the equation of the normal line to cos x-sin y=0 at y=

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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: dx 2.

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

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Q: Find dy/dx by implicit differentiation. 5x3 + x2y − xy3 = 2

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

A: Please refer the attached image for complete solution.

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

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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: In the integration What is the implicit derivative of u? V9-4x* a. du = 2dx b. du = * c. du =– 2dx…

A: Implicit differentiation of integral

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: A population x of rats satisfies the DE dx /dt ka?. Initially there are x(0) = 2 rats, and their…

A: The general solution of a differential equation always contains a constant of integration. The…

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

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

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Q: Find the derivative of the function. y = (3t – 1)(6t – 6) -1 dy dt II

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Q: (In x) dx Integrate: 1

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Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

Q: Compute the second derivative of e^x+y+y^2+x^3=0. y" denotes, d^2y/dx^2

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Q: What is the integrating factor of y' - 2xy x?

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Q: Integrate: Sx e* dx.

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Q: The derivative of y=eev* +cosh x equals Select one: O y' =eev +sinh 2/x 「Oy=SeV全 + sinhx 2/x ev…

A: Given: y=eex+coshx To calculate: Derivative of y

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

A: Given  (x2-y2)dx+(x2-2xy)dy=0