Can we solve following differential equation by separable variable method dy y = eV+sinx secx %3D dx

Q: 2 |sin x dy = 0 y Solve cos xdx +|1+-

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Q: Xdx + Y'dy

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Q: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: x²y² dy — 3у +1 dx

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Q: y" +9y' = 9 tan 3x

A: The solution is given by using method of variation of parameters as follows

Q: 3² dx dy + 2xy = sin y,x(n) = 1

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Q: y' = 4x(2y-y)

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Q: 3. (2xy-x+2y- 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A: See answer below.

Q: e) xy' + y = 5x

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Q: 8. Solve the differential equation (x+y)² dy = a². dx

A: Let x+y=t This implies 1+dydx=dtdx

Q: (2y cos x + sin*x) dx = sinx dy %3D

A: Given, Differential equation : 2y cos x+ sin4 xdx=sin x dy To find: General solution of given D.E.…

Q: x'+z=et; x(0) = 1

A: Take z as constant

Q: Solve the differential equation by variation of parameters. у" + у %3 csc х y(x)

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

A: We want to solve given differential equation

Q: Solve for homogenous differential equation (x + y)dx + 2xdy = 0

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Q: dx + (x-y + 2)°dy = 0 4.

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Q: x + ( 1+x)y = e -× sin2x dx

A: The solution is given as

Q: 2y" + 3y' + y= 3sin x+ xe

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Q: 13.ydx + (3x —ху+ 2)dy — 0

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Q: 1. (x*+6y*)dx – 4xydy=0

A: The given DIFFERENTIAL EQUATIONS is x2+6y2dx-4xydy=0 ...................... (1) This is homogeneous…

Q: y" + 8y %3D 2х — 5 + 8e-2x ; у(0) — -5; у'(0) — 3; у" (0) — —4

A: The given differential equation is: y'''+8y=2x-5+8e-2x ;           y(0)=-5,  y'(0)=3,  y''(0)=-4 The…

Q: y" – y' – 6 y = sin t + 3 cos t

A: The given equation is a second order linear non homogeneous differential equation with constant…

Q: Solve the differential equation for y if (1+9x²) dx %3D

A: Here we have to solve the differential equations,  1+9x2dydx=1.................................(1)

Q: 3. у'sec'xdx - (1- 2у'tanx)dy - 0

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Q: Solve the follow ing differential equation: x²y'-2xy = x* sin 2x. %3D

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Q: 3. xy dx + x²ydy = 0

A: Given- xy2dx+x2ydy=0 To Solve- The above differential equation.

Q: Find y2 for differential equation if yI is given: ху" — 20у'%3D 0 Y1 = 15x13 -

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Q: 2. y" + 25y = 5 tan² (5x) cos(5x)

A: The given problem is to solve the given differential equation, we have to solve it by using…

Q: 3 y 1-x y'- 1- X y= e-e

A: Here the given differential equation is y''+1-xxy'-1x2y=ex-e-x This is a linear second order…

Q: 2. y + xy = 6x/y %3D

A: Derivatives represent the change in variable with respect to change in another variable. When the…

Q: 3. y" + y = sin x

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Q: Solve for the differential equations and get the general solution. Simplify your answer free from…

A: The given differential equation is dy=tanxtanydx

Q: Find the general solution to the differential equation y = x² tan(y) y = help (formulas)

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

Q: 6.) y' + (4/x) y- (x')ly) =0

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Q: y" + 4y' = sec 2x

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Q: By first finding an integrating factor, solve this differential equation. Give your answer in the…

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Q: 1. Integrate: (7 x' + 3x?) dx

A: Topic - integration Note - as per bartleby Guidelines ,we are supposed To solve first question as…

Q: Use variation of parameters to find the general solution of the following differential equation: y"…

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Q: y' = sec x - y tanx %3D

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

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Q: Please solve differential equation A - By = dy/dx A and B are constant.

A: The given problem is to solve the given differential equation where A,B are given as constants.

Q: Y = CI Cos 3X + C2sin 3x %3D

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

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Q: y' +y Inx = 0

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Q: sin 0 · dr/d0 = -1– 2r cos 20 -1 - 2r cos 20

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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: 2. y(2x+y° 5. dx 3. 2x

A: We have to solve

Q: aur + 2xyury + y*uyy = 0

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Q: (x+xy²) dx + ye dy = 0 Separable Equation

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Q: iolve the given differential equation by undetermined coefficien y" + 4y = 2 sin(2x) (x) = ||

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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.