Find the general solution of the equation: G + 6x) dx + (In x – 2) dy = 0 (x > 0) -

Q: a. Solve = y(1 -1). dy dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1/ Solve the equation: (3x²+2xy") dx + (2x²y) dy = 0, where y(2) = -3

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Q: (x + y) dx + (3x + 3y - 4) dy = 0

A: given differential equation  x+ydx+3x+3y-4dy=0 solution let y+x=u differentiate dy=du-dx…

Q: dy Find the solution of 2ху + dx X. 2у-1

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Q: 3x² (- x) dx – (-y) dy = 0 2х (1) Find the general solution for

A: The given differential equation is: 2xy3-xdx-3x2y4-ydy=0 Comparing this with: M dx + N dy = 0, we…

Q: Find the general solution of dy/dx=x-4/x^2-5x+6

A: Explanation of the answer is as follows

Q: - у = 3x-2 4x-5

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Q: Find the General and Particular solution of = 4y ; y= 3,when x = 0 dx

A: Given: dydx=4y

Q: Solve the equation y (x + 1) dy/dx = x ( y2 + 1).

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Q: 4.2(х — у)dx + (3х — у — 1)dy 3 0

A: Let's find.

Q: dy= (x+1) G-2) dx メy

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Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0 %3D

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Q: - Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: Solve bernoulli equation (dy)/(dx) - y = x * y ^ 2

A: Given problem:- Solve bernoulli equation (dy)/(dx) - y = xy2

Q: The equation dy - ydx = [-x*y^3* e^(-2x) ]dx is linear in x but not in y. True or false?

A: Given that dy-dx=-xy3e-2xdx.

Q: Find the general solution of the equation, d²y dy 4 + Зу %3D0 dx dx?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

Q: Solve the equation 3(y* + 1)dx + 4xy³dy = 0. (Solution must be clear and concise.)

A: The given differential equation is 3y4+1dx+4xy3dy=0. The above differential equation can be…

Q: The solution of |x 2* dx is

A: To find: ∫ x2xdx

Q: Solve for the value of C in the equation: dy – (y + xy³)dx = 0 when y(0) = 1

A: The given differential equation dy-y+xy5dx=0dydx=y+xy5dydx-y=xy5 It is first-order Bernoulli's…

Q: Find the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: Given: dydx=5x3+x2-2; y=1 when x=0

Q: Find the general solution: k^2 dx+(x-y+k)^2 dy3D0

A: Given that: k2dx+(x-y+k)2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: x dy +34%3X dx 2.

A: I have solved the problem by finding integrating factor

Q: Find the general solution by means of separation of variables if: dy = xy -x dx

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Q: Zx+1 8) I = - dx 7-7x+12

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Q: 1/ Solve the equation: (3x²+2xy") dx + (2x³y) dy = 0, where y(2) = -3

A: This equation is exact differential equation

Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

Q: Determine whether the equation (3x + 2y)dx + (2.x + y)dy = 0 is exact. Find the solution if it is…

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Q: Find the general solution of 6y2 dx - x (2x3 + y) dy = 0

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Q: Solve the DE: 2 dy 3 dx 3x² + y² xy

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Q: Solve the homogenous diff equation of; dy dx x²(y² + 3) y(x³ + 1) 0

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Q: What is the solution? dy/dx - y/x =xy^2

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Q: solve d 3 d'y = sin2x dx dx

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Q: Solve the D.E dy -(2x /1-y2)dx = 0

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Q: Find the general solution. dy/dx=15-y y=

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Q: solve it by direct methode dy/dx = 1/4x2+4x+2

A: The given differential equation is,  dydx=14x2+4x+2 separate the variables, dy=14x2+4x+2dx

Q: what is the general equation to the equation dy dx 2 2 dx²

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Q: x(y-1) dx + (x +1) dy -0

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Q: Find the solution of: dy 2y 3x when x = 1, y = -1 dx 2у + ||

A: A differential equation of first order is said to be homogeneous if it is of the form dydx=Fyx. It…

Q: Solve for the General Solution. ( x csc y/x-y) dx + x dy = 0

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Q: Q2: Solve: dy_ (1- y)x².Inx yf-1 dx 03-

A: NOTE: Hi! Thank you for your question. As per the honor code we'll answer the first question since…

Q: Find, the, general solution of 2 dy + y = xe"Inx. dx²

A: Given the differential equation           y''-2y'+y=xexlnx Find the general solution.

Q: Solve this DE:  (x-y-2)dx + (3x+y-10)dy = 0

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Q: Solve the equation (2y³ – x³)dx + 3x²ydx = 0. correction to the 2nd term: dy

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Q: Obtain the general solution to the equation. dy - Y + 6x +5 dx

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Q: Find the general solution, using separation of variables: dy dx

A: The given differential equation is  dydx=e-y-x

Q: Solve for the general solution. (x + y) dx + (3x + 3y - 4) dy = 0

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Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: Use the method of separation of variables to solve, dy 2x(3x +1) Зу? — 1 dx given that y(0) = 2.

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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.