dy x +3y dx 2 ху

Q: solve the given differential equation. 29.y″ + 2y′ + y = 2e−t

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

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Q: solve the given differential equation. y − xdy/dx = 3 − 2x2 dy/dx

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: The given differential equation is dydx=yxy6-1. The main objective is to solve the given…

Q: Solve the given differential equation. The form of y, A+ Bx + Cx² D²y - y = 2 + x² %3D

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Q: У(4х + у)dx — 2(х - у)dy %3D0

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Q: Solve the following differential equation (25x+3y)dx+(9y-3x)dy=D0

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Q: Determine the value of k that will make the equation exact and solve the resulting differential…

A: Solution :-

Q: Solve the given differential equation 3. d²y dy dy = x² dx² dx dx

A: Given the differential equation :

Q: Solve the given differential equation by undetermined coefficients. y" – y' = -4 %3D y(x) =

A: We have to solve the given differential equation by undetermined coefficients.…

Q: (x5 — y2 )dx + 2xy dy = 0

A: Given: (x5 — y2 )dx + 2xy dy = 0

Q: Solve the given differential equation by undetermined coefficients. y"- 2y'- 3y = 12e- 3 %3D

A: The second order linear non- homogeneous ordinary differential equation is of the form…

Q: Solve the given differential equation by undetermined coefficients. (1/4)y'' + y' + y = x2 − 5x

A: Consider the differential equation 14y''+y'+y=x2−5x We have solve the given differential equation by…

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' + 65y = e* cos(8x) y(x)…

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Q: Solve the given differential equation by undetermined coefficients. y" - y' = -7 y(x) :

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Q: Solve the given differential equation by separation of variables: dy 5y dx Oy = cz %3D Oy = Oy = *…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: dy x3 dx 2+y²

A: Let's solve given diffrential equation.

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 3. y′ = cos2(x) cos2(2y)

A: Solution -  Given function -  y'=cos2(x)cos2(2y)or,dydx=cos2(x) cos2(2y) Segregating the y and x…

Q: Solve the general solution of the following linear differential equation: (y-cos²x) dx + cosxdy = 0

A: Given (y-cos2x)dx+cosxdy=0To find general solution:

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. dx 4y² + 6xy dy 3y² + 2x

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Q: 2x° -1 dy dx 3-2y

A: Given, dydx=2x3-13-2y We have to solve the differential equation by separating the variables.

Q: 4. Solve the given differential equation by using an appropriate substitution, if necessary. by v? +…

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Q: Solve the given differential equation by separation of variables. dy = e5x + 4y dx -4e5x 5 + C X

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Q: Solve the given differential equation: (3x+2y) dx+(2x+y) dy=0.

A: Gievn equation -  (3x+2y) dx + (2x+y) dy =0

Q: Solve the following differential equation: + 2y +v -

A: We have to find the solution of the differential equation…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: For a differential equation of the form: dydx+P(x)y=Q(x), the integrating factor is calculated using…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: Given differential equation is first order Bernoulli differential equation of the form…

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

A: To determine whether the given differential equation is exact or not and also to find the solution…

Q: (x³ + y² √x² + y²)dx - xy√x² + y² dy=0

A: I am attaching image so that you understand each and every step.

Q: solve the given differential equation 2. y′ + y2 sin x = 0

A: Consider the given differential equation, dydx+y2sinx=0 now simplify the equation as follows,…

Q: Solve the given differential equation. (x² + 9) dy = (2x − 8xy) dx

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Q: 27. dx = 2 + Vy – 2x + 3

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Q: By exact differential equation, solve the following 1. (6x + y2)dx + y(2x – 3)dy = 0

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: Given differential equation xdydx+y=1y2 To solve the differential equation by using appropriate…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Solve the following differential equation (25x+3y)dx+(9y-3x)dy=0

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Q: Solve the given differential equation. dy 2xy = 4x +3y² dx

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Q: solve the given differential equation. 1. y′=x2y

A: we have been given the differential equation  y'=x2ydydx=x2y             (as y'=dydx) using the…

Q: Solve the given differential equation. xy' +6y = 3xy3

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Q: Solve the given differential equation. (y² + 5) dx = y sec²(x) dy

A: For the given differential Equation (y2+5)dx=ysec2(x)dy is  y=cex+cosxsinx-5 , y=-cex+cosxsinx-5

Q: Solve the given differential equation by separation of variables. dy = e5x dx + 6y

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Q: Solve the given differential equation by separation of variables: = 5y dz Oy = cr5 ) y = ¿xª +c Oy =…

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

A: The given exact differential equation is 7x+5ydx+5x-8y3dy=0. Solve the given exact differential…

Q: Solve the given differential equation by using an appropriate substitution dy 3x+2y y (-1) = –1 dx…

A: The solution is given as

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

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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.