dy nx- 2y = -kxy¬n 1-n dx

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: (x²+y)dx -xy dy - O

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Find the primitive solution to the following differential equation. (x3 + y³) · dx + 3xy² - dy=0

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Q: x²ydx – (x3 + y³)dy = 0

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Q: Find the implicit solution to the following differential equation dy 2ху + 3у — 4x -6 dx

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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 the general solution of the following differential equation:   2x ( y - x2 ) dx + dy = 0

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Q: dy 3(1 + P) - 2ty(y³ – 1) dt

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

A: Bernoulli's equation is a special type of first-order linear equation. Suppose a differential…

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

A: Given the differential equation :

Q: dy +3y = 3x²e-3x dx

A: It ia Linear differential equation.

Q: (x5 — y2 )dx + 2xy dy = 0

A: Given: (x5 — y2 )dx + 2xy dy = 0

Q: Solve the differential equation of the following (x-3y+2) dx + 3(x+3y-4) dy = 0

A: The given differential equation is  (x-3y+2) dx + 3(x+3y-4) dy = 0

Q: a) Solve the following first-order differential equations: dy = -y 2x, given that when y=0, x=+2 dx

A: We have given  -y dy/dx = 2x when y = 0 and x = +-2

Q: Convert the following differential equation into a Perfect equation and then Find its general…

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Q: Find the general solution of the following differential equation d y + 4- dx2 d²y dy + 4- d.x 2- dx3

A: The given differential equation is 2d3xdx3+2d2xdx2+4dydx=0 Let ddx=D. We can re-write the given…

Q: dy x3 dx 2+y²

A: Let's solve given diffrential equation.

Q: find the ordinary differential equation of the following solutions by eliminating the arbitrary…

A: We will find out the required differential equation.

Q: Solve the given differential equation. dx 4y² + 6xy dy 3y² + 2x

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Q: Find the particular solution of the following differential equation:  2xy dx = ( x2 - 2y3 ) dy ; y…

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Q: convert the following differential equation into a Perfect equation and then Find its general…

A: Solution :

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

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Q: dy 2 +y- 2x + 3 ご

A: We have to find General solution of given differential equation.

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

A: To solve the below differential equation. dydx=yxy2−1

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

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Q: (2xy+1)dx +xy'dy - O

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Q: Which of the following is the general solution to the differential equation (x³ + xy)dy - (y² – x²y…

A: First we will make it exact then solve it

Q: %3D (2xy + y)dx + (x² + 2xy – y)dy = 0

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Q: convert the Following differential equation into a Perfect equation and then Find its general…

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Q: Find the general solution to the following differential equation of (2xy +y2) - 2x2dy =0; y=e when…

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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: Find the value of k so that the given differential equation is (y3 + kxy - 2x) dx + (3xy² + 12x²y³)…

A: Given differential equation is (y3+kxy4-2x)dx + (3xy2 + 12x2y3)dy = 0

Q: Convert the following differential equation into a Perfect equation and then Find its general…

A: I hope the perfect equation you mean is the exact differential equation. We use the exact…

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

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Q: Give the General Solution of the following Differential Equation 1. (e-y)(1-²y)¹/2 dx = dy

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Q: Solve the following differential equation d²y dy + x- +x²y = 0 dx2 dx

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Q: dy , 2(y+1) 2) + 2(у + 1)4 dx х+1

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Q: dy – y = e*y? dx

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. dy 2xy = 4x +3y² dx

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Q: Find the general solution to the following differential equation dy/dx = 6x2(y+3)2

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Q: find the general solution of the following differential equation if one solution is known to be y=x…

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Q: solve the following differential equations by obtaining a family of solutions: (x² + y²)dx + xy dy…

A: Let us consider a differential equation of the form  M dx+N dy=0 Check the exactness of the…

Q: Find the general solution of the following differential equation:  ( y2 + 3 )dy = ( y - 2 ) lnx dx

A: We have to Find the general solution of the following differential equation:  ( y2 + 3 )dy = ( y - 2…

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: Find the general solution of the following differential equation dy (x² + 1) + 3ху — 6х. dx

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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 dy -+ 2x- - 12y= x' (In x) dx dx?

A: And we have to solve this differential equation.

Q: ) Find the general solution to the following differential equation, (2xy² – ysin(x) + 2x + 1)dx +…

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