Solve the following differential equation: (3y-7x+7)dx+ (7y-3x+3)dy=D0

Q: Solve the following differential equations of 3.x d'y dx² +9y2e³* +18x+18

A: We can solve as follows

Q: Solve and find the domain for the differential equation: (x2y2)dx + xydy = 0 , y(3)=-6

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

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Q: Solve the following Differential equations. 3. (x-2y) dx + ( 2x+y) dy = 0

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Q: Solve the following differential equations: (D² – 4D + 4)y = x³e2x %3D -

A: Consider the given information: The given differential equation is, D2-4D+4y=x3e2x

Q: conver the Following differential equation into a Perfect equation and then find 1+5 general…

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

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Q: Solve the following differential equation: 2 (y+3)dx - xydy = 0

A: If a differential equation can be written as f(x)dx=g(y)dy , then it is known as differential…

Q: Solve the following differential equation: d²y +x² = 0 with dx? (x = -3) = 2, y(2)=4 dx

A: The given differential equation is, The given initial conditions are,

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 separation of variables. xy + 6y-x6 dy xy - 7y + x - 7

A: Given dydx = xy + 6y - x - 6xy - 7y + x - 7

Q: 3. (w - 3x +3)dw + ( 3w + x + 9)dx=0

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Q: (3x²y + 4e)dx + (x³ + 4xe' + 2y)dy

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Q: Solve the following differential equations. У(x - у) dx - x(х) + y) dy 3 o

A: Note - As per our guidelines we have to answer only first question if multiple questions are…

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

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Q: d²y dy 4х — + 6у — 4х — 3 dx | dx2

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Q: Solve the following Second Order Differential Equation 9 (d^2 y/dx^2 )+ 6 (dy/dx) + 5y = 0

A: Solution:Solve the following second order diffrential equation:9d2ydx2+6dydx+5y09D2+6S+5y=0writting…

Q: Solve the following exact differential equations.   2x dx / y^3 - (y^2 - 3x^2)dy /y^4  = 0

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Q: Solve the following Differential Equation. dy 4x + 2y - 3 dx 2x + 2y – 3

A: Given DE isdydx=4x+2y-32x+2y-3 it can be written as 2x+2y-3dy=(4x+2y-3)dx i.e.…

Q: Q2: Solve the differential equations: 2-= tan? dy 1- dx

A: Answer and explanation is given below.. For second question please repost

Q: 49³y dx3 - 13 dy+ dx + 6y = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines

Q: y(2xy +1) dx + x (1 +2xy - x³y³) dy = 0

A: See this solution in below

Q: Solve the following higher order differential equations using auxiliary equation with distinct…

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Q: Q3/ Solve the following Second order differential equations. 1- d²y dy - 3x - 12x 3 = dx dx² -

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Q: Solve the following differential equations dy 1+2y-6x dx y- 3x

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Q: Solve the following differential equation (y-4x-1)²dx-dy=0

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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: (4x + 4y)dx + (4x – 6y°)dy = 0. -

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Q: Solve the given differential equation by undetermined coefficients. у"+у'- 30y %3D2х y(x) =

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Q: Solve the given differential equation by undetermined coefficients. y'' + 6y' + 9y = -xe4x

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Q: Solve the following differential equations of (2xy - 2y)dx+ (3x'y-4x)dy 0

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Q: Solve the following differential equations. dy – XVX² +9, y(-4) = 0 a) dx

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Q: Solve the following differential equation: (3x + 2y + 3)dx + (2x + 4y + 1)dy = 0

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Q: Solve the given differential equation by separation of variables. dy xy + 8y - x - 8 dx xy - 5y + x…

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

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

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Q: Q1/ Solve the differential equation by Undetermined coefficients. d²y dy 1- -3- e3x + 12x %3D dx2 dx

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Q: dy_ 2x+ y-1 dx 4x+2y-4

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Q: dy - 2y = x³ cosec 2x dx

A: To solve the below differential equation. xdydx−2y=x3csc2x

Q: Solve the following differential equations. dy a) dx x² +9, y(-4) =0

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Q: 3- (2x + y)dx + (x = 2y)dy = 0

A: firstly check given differential equation is exact or not then solve according to that:-

Q: Solve the differential equation as follows: (3 + 5x?y³ + 4xy* + 3y³)dx + xy²(3 + 4xy + 3x)dy = 0

A: To solve the differential equation as follows: 3+5x2y3+4xy4+3y3dx+xy2(3+4xy+3x)dy=0

Q: Solve the following differential equations. ´y²-2x²' () dy = 0 2y²-x y3-x²y. (ry2_x3) dx +

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Q: Solve the given differential equation by separation of variables. dy xy + 6y-x-6 = dx xy-7y+x-7

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Q: Solve and find the domain of the differential equation: 3x2y+(x3-2y)dy/dx = 0 , y(2)=-8

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Q: Solve the following differential equations: a- (2x + 3y -2) dx + (3x -4 y +1) dy=0 b- (x²+3y²)…

A: The given differential equations are;  1) (2x+3y-2)dx+(3x-4y+1)dy=0 2) (x2+3y2)dx-2xydy=0.

Q: dy 2y (х + 2)* dx x -4 х - 4 +

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Q: Solve the following differential equation: 4y2 + 10xy – 4y + 8)dx + (2x2 + 2xy-x)dy 0

A: 4y2+10xy-4y+8dx+2x2+2xy-xdy=0           1 Comparing it with standard differential equation Mdx+Ndy=0…

Q: Solve the following differential equations: 1.) (x-2y+4)dx + (2x-y + 2)dy = 0

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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.