Solve the given differential equation by finding an appropriate integrating factor to make it exact dx 1 - dy Csc y 0=(-

Q: Use an Integrating Factor to solve the differential equation.

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Q: Find the general solution of the given differential equation and use it to determine how solutions…

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Q: Solve the given differential equation by separation of variables. csc(y) dx + sec²(x) dy = 0

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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 by using the separable equation method 2 dx -sin 2t = 3 7 dt

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Q: dy sin(x - y), use the substitutions To be able to solve the differential equation dx

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Q: Solve the given differential equation by undetermined coefficients. y"+y = 6x sin(x) %3D

A: Given differential equation is            y''+y = 6xsinxConsider the equation y''+y =0…

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

A: We have to form in a integrable form.

Q: Solve the given differential equation by separation of variables. dy dx sin 5x y = -5 cos(x)

A: To solve the differential equation.

Q: Solve the given differential equation by undetermined coefficients. y'' + y = 3x sin(x) y(x) =…

A: Find the complementary function as follows.The auxiliary equation of the given differential equation…

Q: Solve the given differential equation using indeterminate coefficients y''' - 6y'' = 3 - cosx

A: The given differential equation is y'''-6y''=3-cosx. Its auxiliary equation is m3-6m2=0. Solve it as…

Q: Solve the given differential equation by undetermined coefficients. y'' + 4y = cos2 (x)

A: Find the homogeneous solution of the given differential equation as follows.

Q: Solve the given differential equation by separation of variables. ds kS dr

A: We want to solve given differential equation

Q: Solve the given differential equation by separation of variables. dy 5x +3y dx 1 5x

A: The given differential equation is                                                     dydx=e5x+3y…

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: differential equation by using an appropriate substitution.

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Q: Solve the given differential equation by separation of variables. xdx = 2y y =

A: Use Separation of Variables to solve the given differential equation xdydx=2y

Q: (3ху + 3у - 4) dx + (x+1)2dy %3D0

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Q: Solve the given differential equation by separation of variables. dy/dx = sin(8x)

A: We have to find the solution

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec sec2(x) dy = 0

A: Solve the given differential equation by separable method.

Q: the given differential equation is not exact and hence show that Solve it x²ydx -lx3+y?)dy=0

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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: 2ydx = (x2 – 1)(dx – dy)

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Q: Find the solution to the differential equation dy/dx=19xy/(lny)4 which passes through the point…

A: Separate the variables than solve the differential equation by integrating both sides.

Q: dy cos(x). + y sin(x) = sin²(x) cos(x) y³ dx

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Q: (x4 + 2y)dx - xdy = 0

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Q: For the given non exact differential equation, determine the integrating factor. (x2 + 2xy - y2) dx…

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Q: dx 3. y - x = 2y2 ; y(1) = 5

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Q: Solve the given differential equation by undetermined coefficients. y" + y = 3x sin(x) y(x) =

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Q: Solve the given differential equation by separation of var X- dx xdy = 2y

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Q: Solve the given differential equation by undetermined coefficients. у" + у'+ у 3x sin(x) y(x) =

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Q: Solve the given differential equation by separation of variables. ety dy eУ + е-5x — у dx =

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Q: У(4x + у)dx — 2(x? — у)dy %3D0

A: The differential equation Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x. Compare the given equation with the…

Q: 34. cos x dx + (1 + + - sin x dy = 0

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Q: Solve the given differential equation by separation of variables. dP = p-p² dt

A: The given differential equation is: dPdt=P-P2 We have to solve the given differential equation using…

Q: Solve the given differential equation by separation of variables. ds ks = dr S =

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Q: Solve the given differential equation by separation of variables. e-y + e-5x - y exy dy dx

A: To find the solution of D.E.

Q: find the Integrating Factor and Get the General solution of the given differential equation

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

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Q: Solve the given differential equation by separation of variables. dy = sin(6x)

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Q: Solve the first order differential equation using any acceptable method. sin(x) dy/dx+(cos(x))y=0,…

A: We have given First Order Differential Equation,

Q: Solve the given differential equation by variation of parameters. y" - y' = xe*

A: Given y"-y'=xex

Q: use the variation-of-parameters method to solve the given differential equation. Q. y′′+y = 1/sinx .

A: Given the differential equation, y''+y=1sin x To find the solution.

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

A: For the solution follow the next step.

Q: Use the annihilator method to solve the given differential equation. y"-y=3e²+ sinä.

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

Q: Solve the given differential equation by separation of variables: x(dy/dx)=6y

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Q: y"-4y = 0; cosh 2.x, sinh 2x

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Q: Solve the given differential equation by separation of variables. dp = p-p² dt

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