Solve the differential equation (2xy + y ^3 )dx + (x ^2 + 3xy^2 − 2y)dy = 0 what is the answer

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

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Q: 3) yy +x²(sinx)³ = y³cotx %3D

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Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: Find general solutions of the differential equation    (x+y)/y'=x-y

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Q: Find the general solution for differential equation. Verify that  solution satisfies the original…

A: 4x3-2dydx=0 On simplification, we get ⇒2dydx=4x3⇒dydx=2x3⇒dy=2x3 dx Now integrating on both sides,…

Q: Which is not a form of differential equation is...

A: This is the forms of difference equation and series in summation notation.

Q: 2. (x- 3y + 3)dx + (3x + y + 9)dy = 0

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Q: differential

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Q: Obtain the differential equation by eliminating all arbitrary constants

A: We need to eliminate constant B.

Q: Determine the form of a particular solution for the differential equation. Do not solve.

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Q: A solution of the differential equation 2 y"

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Q: NONEXACT DE DIFFERENTIAL EQUATION 2. (2x²y - 2y² + 2xy)dx + (x² - 2y)dy = 0

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Q: %3D siny(x + siny)dx + 2x²cosydy = 0

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

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Q: (х +у—4)dx — (х — у + 2)dy %3D0 -

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Q: Obtain the differential equation by eliminating all arbitrary constant.

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Q: Classify the entangled differential equation and find its general solution. y′ = xcosecx + y cotx

A: The given differential equation is of the form of  linear differential  . General form of linear…

Q: (x² + y²)dx – xydy = 0 %3D -

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each…

A: According to question,Given differential equation,y4x + y  dx -2x2 -y dy = 0

Q: Solve differential equation (x2-2xy)dy=(y2-2xy)dx

A: Solution:-

Q: (12) х4 Яу + 2x3у -1 + 2x3у %3D 1 dx

A: For the solution follow the next step.

Q: Find the general solution for differential equation. Verify that  solution satisfies the original…

A: To find the general equation , first multiply dx on both sides of the equation dydx=-4x+12x2 and…

Q: y' = (x+y– 2)² (х-у)?

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Q: Find the general solution and the particular solution of differential equation given by the initial…

A: To find the general and the particular solution of the given differential equation.

Q: y(4) + y" = 3x²

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Q: y In(x) ln(y)dx + dy

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Q: Solve differential equation dy -(x²+y) = dx x+siny

A: To solve the given differential equation: dydx=-(x2+y)x+sin(y)

Q: Solve the differential equation Integrating Factor by Linear Equation: y' + X. (4)» = * y = x+

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Q: 3. x'sec'ydy - (1– 2x'tany)dx = 0

A: Given,  x3sec2ydy-1-2x2tanydx=0------1 We will solve this with the help of exact differential…

Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: Solve the differential equation using Separable of variables.

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Q: Solve for the particular solution of  differential equation using bernoulli's equation

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Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters) dr

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Q: Solve Differential equation (x2-2xy)dy=(y²-2xy)dx

A: Solution: The objective is to find the general solution to the given differential equation

Q: (9x^2 + y - 1) - (4y - x)y′ = 0

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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: Find the general solution for each differential equation. Verify that each solution satisfies the…

A: The given differential equation is, 4x3-2dydx=0 On separating the variables, we get…

Q: Classify the differential equation 4 4 4 = 0

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: We have to find solution of the given initial value problem.

Q: Solve differential equation dy=yt method by 2nd order Runge-Kutta and fourth order Runge-Kutta

A: Given the differential equation is dydt=y2t

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

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Q: dy – (x - y + 1)?dx = 0

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Q: 2. xy' - y = y cos 3x

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Q: (2x-3y)dx+(2y-3x)dy3D0

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each…

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Q: the order of the differential equation is one factor in determining the linearity of the…

A: A differential equation is linear if the dependent variable and all its derivative are not…

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

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

Q: 3. (sin'x + cosv)dx - tanxsin2ydy = 0

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Q: The solution of the differential equation

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