Find the general solution dy +2y - 6x? dx

Q: Obtain the general solution to the equation. y(dx/dy)+6x=3y^4

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Q: Find the general solution for the equation dy/dx=(2x/y)e^y+2x

A: Given the differential equation, dydx=2xyey+2x    ⋯⋯(1) Rewriting equation (1),…

Q: Find the general solution of the first-order equation dy/dx=(y^(2) − 2xy)/x^2

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Q: Find the particular solution of dy/dx=6e^3x+1,andf(0)=0.

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Q: Find the solution. 2y dy =x?y²sinx dx

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Q: Find the solution. dy x=+5y=2x²y4 dx

A: Given differential equation xdydx+5y=2x2y4

Q: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

Q: The solution of (y + x + 5)dy = (y – x + 1) dx is %3D

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Find the general solution of : (x² - y² )dx + 2xydy = 0

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Q: Find the general solution of = 8e-4x %3D dx

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Q: Find the solution of dy 2x- +y =x is dx

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Q: Obtain the general solution. d²y e* 1. dx? dy 2 +y= dx x² +1

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Q: Obtain the general solution to the equation. dx y dy + 6x=5y

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Q: dy Find the general solution of 2x² = a? + y? dx %3D

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Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

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Q: Solve by using the method of d'y dx² dy + 2x dx undetermined coefficients : + (x2 + 5) y = xe-xn

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Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Find the general solution of  dy/dx + y/x= 3/y

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Q: Solve the general solution of the given DE:(2r+y)dx-xdy=D0*

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Q: dy 2y+3\2 dx 4x+5. ||

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Q: 4dx + (x — у + 2)?dy %3D 0

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Q: The solution of (xy – ) = y³e-x² dx

A: The solution of the differential equation is defined as the function that satisfies the equation.…

Q: Solve the equation. (4x2 + 2x-1y)dx + (x²y° - 1)dy = 0

A: Given: Given differential equation is 4x2+2x-1ydx+x2y3-1dy=0 we want to solve this ODE

Q: Solve the egjuation ditferential (2x-3y+5)dx+(3x-2y+2)dy=0

A: Given the differential equation is                     (2x -3y +5)dx + (3x -2y +2)dy = 0

Q: dy = 6 3y – x- dx

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Q: Find the general solution. dy - 2y +4x3 dx

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Q: Solve the differeial equation: dy/dx=3x^2y^2

A: The given differential equation is dydx=3x2y2.

Q: Find the general solution or particular solution. 1. dy = (x-3y)dx 2. y'%3х- 2усоot 2x 3. (Зх- 1)…

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Q: Find the general solution of dy/dx= e^3x+2y

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Q: Find the solution of y (4x + y) dx – 2 (x² – y) dy = 0

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Q: Find the solution. dy x-+ 5y =2r2y4 dx

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Q: d*y dy 4. = x? + e". - dx4 dx2

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Q: Find the complete solution of d2y/dx2 +2dy/dx+y =sinxcos2x.

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Q: Solve the general solution dy = 1+x + y? + x²y? %3D dx

A: Given,           dydx=x2 + 1 + y2 + x2y2

Q: dx 3hx? dx 2. 3. 4.

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Q: Find the general solution of dy d' L+64 y. 3 dx -=0 dx

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Q: Find the general solution:  1. (x^2+y^2) dx = 2xydy 2. xy' - y = √x^2-y^2

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Q: find the general solution of the given equation. d2y/dx2 + 4 dy/dx + 4y = 0

A: d2ydx2+4dydx+4y=0 The auxiliary equation is, r2+4r+4=0⇒r+22=0⇒r=-2

Q: the general solution of DE x2 dy/dx=4x2+7xy+2y2

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Q: d²y dx² - dy 4 + 7y=0 dx

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Q: d²y dy Solve 3 dx2 - y = 0 dx

A: our objective is to solve the differential equation.

Q: Find the general solution for d²y_2dy +3y = x² 2 dr2 dx

A: We have to solve given differential equation:

Q: Solve the general solution dy =1+x+y? +x²y? dx

A: A differential equation is an equation in x,y and derivatives of y. A separable differential…

Q: find the general solution of the given equation. d2y/dx2 - 6 dy/dx + 9y = 0

A: Given: d2ydx2-6dydx+9y=0 Now plug dydx=D ⇒D2-6D+9y=0 Its auxiliary equation is,…

Q: dy ycotx + y³cscx dx

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Q: Find the general solution of: (x² - y2)dx + 2xydy = 0

A: Here we have to solve the differential equation.

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.