2.5 (x-9)dx +xdy=0 2.

Q: Solve the differential equation. dy/dx = 5x√ y

A: Given differential equationdydx=5xy⇒dyy=5x dx⇒dyy12=5x dxy-12dy=5x dxIntegrating on both…

Q: Solve the differential equation. dy 10VX dx ey

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Q: Solve the given differential equation by undetermined coefficients. y" + y' = 8 y(x)

A: The solution to this differential equation can be written as the sum of the complimentary solution…

Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у…

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Q: Solve the given differential equation by separation of variables. dy - (y – 6)2 dx = 0

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Q: Solve the Differential Equation (D² + a²)y = Tanax by the method of Variation of Parameters.

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Q: Solve the differential equation for y in terms of x 1) y' + xy = 2x

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Q: Solve the given differential equation by separation of variables. dy=x√√1-y² dx

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Q: y(4) + 2y" + y = (x – 1)?

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Q: Solve the given differential equation by separation of variables. dy e5x + 4y dx =

A: Given :dydx=e5x+4y The formula for integration is ∫enxdx=enxn+c

Q: e. Cxy +C'x + 9 = 0

A: Cxy+C2x+9=0

Q: . Solve for the differential equation and get the particular solution. 1. ye dx (9- e3*)dy; x 0 y= 1

A: Simplify the given equation to separate the variables.     Take integration on both sides of the…

Q: Solve the given differential equation correctly by using an appropriate substitution y'=y(xy2 + 5)…

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Q: Solve the given differential equation by separation of variables. e*y dy = e-y + e-6x - y dx

A: Types of differential equations separable differential equation Homogeneous differential equation…

Q: Solve the given differential equation by separation of variables. dy - (y- 9)2 dx = 0

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Q: Solve the given differential equation by undetermined coefficients. у" - у' %3D —11 y(x)

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Q: Solve the given differential equation by separation of variables. 8y dx

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Q: Solve the given differential equation by separation of variables. 4y dx

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Q: Solve the given differential equation by using separable variables. 1. dy x-5 = dx y²

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Q: Solve the given differential equation by variation of parameters. x?у" - ху' + у %3D 8x y(x) = х> 0

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Q: Solve the given differential equation by undetermined coefficients. y" + 2y' = 2x + 9 - e-2x y(x) =

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Q: Solve the Differential Equation. dy/dx +ycotx = 1

A: the given Differential Equation is; dy/dx +ycotx = 1

Q: 5. (y2 + yx)dx + x²dy = 0

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Q: xdx + ydy == (x² + y²)dx

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Q: Solve the given differential equation by separation of variables. dy - (y – 2)2 dx = 0

A: Explanation of the solution is given below...

Q: Solve the differential equation x²y" – y = e¯*.

A: Solution of given equation is given as:

Q: Solve the given differential equation by using an appropriate substitution. x - (1+ x) y = xy² dx

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Q: У - 2у+ %3D 1+ x

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: y= X + Ci ex t C2e 2x

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Q: Solve the Linear differential equation x+4y = 7x. dx

A: I have used linear differential equation method.

Q: Solve the given differential equation by separation of variables. exy dy =e-¯V + e-8x - y dx

A: In this question, we want to solve the given differetial equation using separation of Variables.

Q: Solve the Linear Higher Order of differential equation using the formulas below. (D² – D + 3)(x In…

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Q: This is a differential equations problem.

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Q: Solve the given differential equation by undetermined coefficients. y" + 5y = -180x²e5x y(x) = %3!

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Q: Solve the given differential equation by separation of variables. (ey+1)2e-ydx+(ex+1)6e-xdy=0

A: Rearranging the given equation:

Q: Solve the given differential equation by separation of variables. csc y dx + secx dy = 0

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Q: Solve the given differential equation by separation of variables. dy dx e³x + 4y =

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Q: Solve the given differential equation by using an appropriate substitution. (x² + y²)dx + (x² +…

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Q: Solve the given differential equation by undetermined coefficients. y'' + 5y = −180x2e5x y(x)=

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Q: Solve the given differential equation by undetermined coefficients. y" + 2y = -18x2²x y(x) =

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Q: Solve the differential equation dx+ xydy = y²dx+ ydy

A: Given equation is: dx+xydy=y2dx+ydy

Q: Solve the given differential equation by undetermined coefficients. y" + 2y'=2x+9-e-2x

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Q: Solve the given differential equation by undetermined coefficients. y"' – 3y" + 3y' - y = x - 3e*…

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Q: Solve the given differential equation by undetermined coefficients. у" — Зу" + Зу'- у %3 е* — - x +…

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Q: Solve the given differential equation by undetermined coefficients. y" 2y' = 2x + 3 – 2-2x y(x) = |…

A: The given differential equation is y"+2y'=2x+3-e-2x. Compute the characteristic equation as follows.…

Q: Solve the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

Q: x²(y+: x(2y+

A: The differential equation is x2y'=4x2+7xy+2y2. Divide by x2 on both sides, y'=4+7yx+2yx2 Substitute…

Q: Solve the differential equation (D² +1) y = x² cos 5x

A: Solution :-

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.