Find the integrating factor for ty' + 2y = t5

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

A: We have to find the solution

Q: Use integration to find the general solution to the differential equation: dx %3D y – 4

A: Given,         The differential equation is dydx=x-2y-4 .

Q: find the differentials of the first and second orders u=xyz

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

A: Proceed as shown below...

Q: By separating variables, find the general solution of the differential equation dvc = - dt RC' where…

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Q: Use integration to find a general solution of the differential equation             dy/dx = ex/(4 +…

A: Given ,           dydx=ex4+ex

Q: To apply the integration factor method, does the differential equation have to be linear?

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

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Q: y' – y = 2te',

A: Laplace transform: L(y'(t))=py(p)-y(0) L(y(t))=y(p) L(2tet)=2(p-1)2

Q: Use integration to find a general solution of the differential equation        dy/dx = 4x2 + 7

A: Given ,     dydx=4x2+7      dy=4x2+7dxThis is variable seperable form .

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: Find the general solution of the differential equation with the help of lablace transform

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

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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: D. Solve the differential equation using Loaplace transform of y" + y = 6sin 2t ; when y(0) = 3 and…

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

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Q: 3) Find the solution af equation that satisties the qiven mitial condition. of the differential L0…

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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: Which óf thé fóllówing directión fiéld will represent the differential equation y' = y + 1 Option 1…

A: Direction field: A graphical representation of solutions of a first order differential equation is…

Q: Calculate the solution to the differential equation -ry 0 with bound- dr dy %3D ary values y = 1 and…

A: We have to find the solution

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

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Q: Compute the differential dy  for  y=(6x+sinx)^3

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

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

A: Given the differential equation:

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

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

A: This is 1st Order Linear Differential Equation.

Q: 6. Why is it very easy to conclude that x2 dx diverges without making any integration calculations?

A: This question is taken from the calculus and sub-topic is improper integral in which we have to give…

Q: Compute the differential dz of the function. 3,,10 x°Y %3| dz

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Q: Use linear approximation (or differentials) to estimate the given number. 3 а. V8.12

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

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

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

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

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

A: On simplification, we get Now integrating on both sides, we get

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

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

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

A: Given  (x2-y2)dx+(x2-2xy)dy=0