y" + 9y' + 7y = e-2t ,t > 0[

Q: Solve the differential equation f -e = 2ey by separation of variables.

A: In this question, concept of separation of variables is used. Seperation of Variables The approach…

Q: Solve the differential equation y’ = 9-(4y)^2 Using separation of variables

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Q: y' = log,(Px- y) where, dy %3D dx solution of this differential equation is

A: Introduction  :

Q: Solve the differential equation y" = e" (y')"

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Q: Solve the differential g(x) = equation. g'(x) = 6x², g(0) = -6

A: The differential equation is given by g'x = 6x2 The initial condition is, g0 = -6 To evaluate: The…

Q: y' = x + 2y solve the differential equation

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Q: Solve the differential equation by variation of parameteres: y'' + y = csc(x)

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Q: Solve the differential equation,  x⁴ y' = -x³y - csc (xy)

A: Given, x4y' = -x3y -csc(xy)⇒y' = -x3y -csc(xy)x4                    1substituting y =ux , u is a…

Q: What is the value of y'(0) for the solution with initial value y(0) = 2?

A: Given differential equation isWe have to find the value of  for the solution with initial value

Q: find the degree of the differential equation y''-12cosec y= 0   3 1 4 or 2

A: The order of the differential equation is 2.

Q: Use variation of parameters to solve the differential equation x²y" + 10xy' + 8y = x².

A: The given problem is to solve the given differential equation by using the method of variation of…

Q: (x*y-2xy*)dx=(x² - 3x'y)dy Solve the differential equation.

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Q: Solve the differential equation by variation of parameters. y'' − 4y = 4x/e^2x   y(x)=

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Q: The differential equation: y²x + y² = x²yy' is solved by

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Q: y=xy'-3ey' solve the differential equation

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Q: Solve the differential equation y'=secx-ytanx

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Q: Convert y'=Xy ʻ-y into an exact differential equation.

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