dy dx -y dx + (x+ /xy) dy =e (x+/xy

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

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Q: (b). Use the method of separation of variables to solve the differential equation y? dy = In x x3 dx

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Q: Given a differential equation as d²y x2 dx² +4y=0. dx By using substitution of x = e' and t = ln…

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Q: Find the general solution for the given differential equation. dy dx

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

Q: dy x +3y dx 2 ху

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Q: dy nx- 2y = -kxy¬n 1-n dx

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve the differential equation listed below:

A: Separate the variables

Q: Solve the given differential equation by separation of variables. dy - (y - 8)2 dx = 0 %3D

A: We have to solve the following differential equation using separation of variables.…

Q: Solve the given differential equation by using separable variables. 2. dy y-1 = dx x + 3

A: We will solve the given differetial equation using separation of variables.

Q: (ど+リさす。 -- dx + lê+1)e"dy-0 dy xy+3X-4-3 dx xy-2x+44-8

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Q: Solve the given differential equation by using an appropiate substitution. x dx +(y-2x)dy=0

A: Consider the provided differential equation.

Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: dy 3x + 2y y(- dx 3x+ 2γ +2 '

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Q: dy xー+y dx

A: Given differential equation is: xdydx+y=1y2 We have to solve the above differential equation. Then…

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

A: Step-1 Solve the given differential equation              by using an apprapriate substitition…

Q: Solve the given differential equation by variation of parameters. x²y" + xy' – y = In(x) y(x) = ,x >…

A: Given: The equation given is x2y''+xy'-y=ln(x). Assume y=xr be the solution. Differentiate the…

Q: Solve the given differential equation by using an appropriate substitution. dy %3D sin(x + y) dx

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Q: Solve the given differential equation by separation of variables. e*y dy = e-y + e-6x - y dx

A: Types of differential equations separable differential equation Homogeneous differential equation…

Q: Solve the given differential equation by separation of variables. dy e -7x - y + e dx

A: To solve the given differrntial equation by using separation of variables.

Q: Solve the given differential equation by separation of variables. dy - (y- 9)2 dx = 0

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

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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. dy - xy + 3x - y - 3 dx xy - 4x +…

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Q: Solve the given differential equation by using separable variables. 1. dy x-5 = dx y²

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Q: Solve the given differential equation by separation of variables. xy + 5x - y -5 xy - 2x + 6y - 12…

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Q: verify that the given differential equation is exact and then solve it      (4x-y)dx+(6y-x)dy=0.

A: Here the given differential equation  Use the following definition

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

A: The solution is given as

Q: Verify that the given differential equation is exact and solve it: (10x + 7y)dx + (7x – 16y³)dy = 0

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Q: dy +2ху- у - 0 dx .

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Q: Solve the given differential equation by separation of variables. dy xy+2y-x-2 xy-3y+x-3 dx Upload…

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Q: Solve the given differential equation by using an appropriate substitution. x - (1+ x) y = xy² dx

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

A: Given differential equation is xdydx=y+x2−y2......1. We have to solve the given differential…

Q: Solve the Cauchy-Euler differential equation d'y dy +2x-20y xr + 2x +1 dx dx

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Q: Solve the non-homogenous differential equation below dy 2y + x - 3 dx y + 2x – 3

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Q: y"-2y'+5y = e"sinx

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Q: solve the differential equation (ey+1)cosx dx +exsinx dy=0

A: The question must be (e^y+1)cosx dx +e^y*sinx dy=0

Q: Solve the given differential equation by separation of variables. dy dx e³x + 4y =

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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. (x² + y²)dx + (x² +…

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Q: Solve the differential equation. dy/dx = 3x2y2 for y ≠ 0

A: This question can be solved by seperating x and y terms and doing integration.

Q: dy У(ху3 — 1) dx

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Q: x*y" - 2xy' +2y = In x |

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Q: 3. Solve the differential equation by obtaining y(x) dy + -y = xy dx 1

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Q: Solve the seperable differential equation dy/dx=x^2/1−2y^2.

A: To solve the separable differential equation: dydx=x21-2y2...(1) To separate the given differential…

Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

A: Given differential equation is (y3+kxy4-2x)dx+(3xy2+20x2y3)=0

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

A: The given DE is: xdydx+y=1y2⇒y2dydx+y3x=1x...(1) Now, substitute y3=u⇒3y2dydx=dudx⇒y2dydx=13dudx

Q: Solve the given differential equation dy -+ 2x- - 12y= x' (In x) dx dx?

A: And we have to solve this differential equation.

Q: Solve the differential equation given below using the initial condition. dy/dx-ye2x=2    y(0)=1

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

Q: Solve the given differential equation by using an appropriate substitution dy x+3y 3x+y dx

A:

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.