x3+ xy² + y)dx + (y³-

Q: Find the Differential equation by eliminating the arbitrary constant y= A + bex

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Q: The integrating factor of the differential equation as shown is e^(-y).

A: Given that: dxdy+x-y=0

Q: Find the differential equation by eliminating the arbitrary constant y= A + bex

A: Solution:-

Q: y' = y²-y ху?-у

A: The given differential equation is  y'=xy2-yx     It can be re-written as…

Q: Show complete solution Differential Equation: ydx-xdy=y^2dy

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Q: In y = C₁e* + C₂е¯x

A: Given problem:- Find its differential equation through eliminating arbitrary constants.    In(y) =…

Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

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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: dy 2. dr 2xy

A: Given : dy/dx - 2xy = ex²

Q: Solve the differential equation Integrating Factor by Linear Equation: (xy² + x²)dy + xydx = 0 %3D

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

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Q: Find the differential equation by eliminating arbitrary constant  y=Ae-3x+Be2x

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Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A: Linear differential equation is of the form linear in y                                   linear…

Q: y = 2xy -x

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

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Q: 4) y' %3D 2ху — х

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Q: The integrating factor of the differential equation xdy+ ydx= x3y6dy is

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Q: Solve the differential equation by separating the variables.   dydx=sin(x+y)−cos(x+y)

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Q: (D² + 4)y = Sinx

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Q: Show that the differential equations are not exact. Determine the integrating factor to make each DE…

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Q: verify that the given equation is a solution of the differential equation.(elimination of Arbitrary…

A: The solution is given as  y=-cos(x) ln(sec(x)+tan(x))                   (1) Differentiate equation…

Q: Use separation of variables to find the general solution of the differential equation. 6 cos(tx) xp

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Q: Solve the differential equations using variation of parameters 1. (D²+1)y= sec³x

A: Given differential equation:D2+1y=sec3x Concept used: Variation of parameters.

Q: Find the general solution for the differential equation: 3- y" + 9y = sec2(3x) %3D

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Q: 1. What is the integrating factor of the differential equation ydx – xdy = 0 using case 1?

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Q: factor

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Q: (3x³ + 2xy)dx + 2x?dy = 0

A: Differential equation solution is written in step2

Q: 3. ydx+(1+x)arctanx dy= 0

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Q: 2. dx + 2x dy/y 2x2 y2 dy

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Q: Solve the differential equation using only methods taught in class. y' + 3xe' = 0

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Q: Write the general solution of (x² – x)y" + - 2x) y' -y = 0 about x = 0 of Hypergeometric…

A: Compare the given equation with the Hypergeometric equation of the form x1-xy''+c-a+b+1xy'-aby=0,…

Q: Solve the differential equation = by the method of separating the variables. %3D

A: Given : dydx = 13y2

Q: /y' + 10 = 0, y(0) = 2 and y'(0) = 4 %3D %3D

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Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: Solve the differential equation Integrating Factor by Linear Equations:  y' = 1 -2y cot2x

A: To Solve the differential equation   Integrating Factor by Linear Equations:    y' = 1 -2y cot2x

Q: y = (xy - v)/x

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Q: equation

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Q: Solve the differential equations using method of undetermined coefficient y"+y = x^2sin(2x)

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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 differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .

Q: xy²-y y' %3D

A: Given: y'=xy2-yx

Q: 2. y"' + 4y' = sin x + 3 cos x

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Q: (x-C,)' +y° = C;?

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Q: Write the general form of Cauchy-Euler differential Equation. Solve the follow- ing differential…

A: General form of Cauchy-Euler Differential Equation. The differential equation…

Q: (2х — 5у + 3)dxх — (2х + 4у — 6)dy %3D 0 - -

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Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = aeª +…

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Q: (1+ cosx)y' = sinx(sinx + sinxcosx – y) |

A: 1+cosxy'=sinxsinx+sinx cosx-y On simplification, we get ⇒1+cosxy'=sin2x+sin2x…

Q: Form the differential equation by eliminating constants a and b from y = a(b – x)(b+x) + 56.

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Q: Solve the Differential Equation using METHODS OF UNDETERMINED COEFFICIENT: y''+y'-3y=4sin2x

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