Solve the differential equation dy 6x dx 9x + 6y

Q: Solve the differential equation: dy x=+(7x – 7)y = 4x³ dx

A: On dividing the given equation both sides by x we get, Hence the given differential equation is of…

Q: dy dx x2(y2+3) + y (x3+1) = 0

A: To solve the differential equation.

Q: 2y" + xy' – 2y = 0

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Q: Solve the differential equation dy dx + 6y = 9y® %3D

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Q: dy 6x/16 – y2, – 4 < y < 4 dx

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Q: Solve the differential equation: d³y_d²y_dy + y = 0 dx3 dx² dx

A: Let us considre the differential equation L[D]=0 To solve the given differential equation  The…

Q: dy dx e5x+4y = e

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Q: xyy' = x² + 1

A: We have to solve the given differential equation  xyy'=x2+1

Q: Solve the differential equation. dy 3x²y² dx

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Q: Solve the differential equation: dy/dx + x2y = 3x2 , y(1)=6

A: Calculate the integrating factor and solution.

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

A: Just I have used the method of exact differential equation and then solved it .Final  solution is in…

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

A: Here, the differential equation is dydx=-3x+4y-13x+4y+2, which can be converted to homogeneous…

Q: Solve the Differential Equation (D² – 4D +3)y = sin 3x. %3D

A: We can solve the given problem using CF and particular solution.

Q: 2. Solve the differential equation dy _ 2xy² + 1 %3D dx 2x²y

A: This is Bernoulli differential equation

Q: Solve the differential equation (2xy + y ^3 )dx + (x ^2 + 3xy^2 − 2y)dy = 0.

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Q: Solve the differential equation: dy X+ (4x – 7)y = 2x° %3D |

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Q: Solve the Differential  Equation (d^4y/dx^4)-4(d^3y/dx^2)=14

A: We will solve the the differential equation.

Q: Solve the differential equation (1+x)dy/dx=4y

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Q: Solve the differential equation: dy + (7x – 7)y = 4x7 dx

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Q: solve the differential equation 3(3x^2 + y^2)dx - 2xydy = 0

A: Given: Differential equation 33x2+y2dx-2xydy=0 To find: Solution to the given differential…

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

A: Explanation of the answer is as follows

Q: Solve the differential equation Dy/dx = 2xy²+1/2x²y

A: Solve the differential equation Dy/dx = -2xy²+1/2x²y

Q: d³y 1. dx³ dy + 6у — 0 dx dx²

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Q: Solve the differential equation. dy + 5y dx = e -5x dx

A: Concept Used: A first order differential equation is said to be linear differential equation if it…

Q: Solve the differential equation   dy/dx=2 /( x² +4)

A: Given, dydx=2(x2+4)

Q: Solve the Linear differential equation x+4y = 7x. dx

A: I have used linear differential equation method.

Q: Solve the differential equation  (dy/dx)=xy^2

A: One method to solve the difderential equation is the variable separable method. In this method,…

Q: Solve the differential equation 1-x+y dy dx 2+x - 3y

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Q: dy + 3y = 3x²e-3x dx

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Q: Solve the differential equation: dy/dx = = (y3 + y2 − y − 1)x2

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Q: Solve the differential equation dy dx x²(y²+3) + y (x³+1) = 0.

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Q: Solve the differential equation. dy = e5x - 5y dx

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Q: Solve the differential equation dy/dx = 1 / xln x

A: Given Data : Differential equation dydx=1xln(x) Apply the variable separable method to solve the…

Q: Solve the differential equation (x² + xy² – x³)dx + (x²y – y³)dy = 0

A: Integration:- An integral assigns numbers to functions in a way that describes displacement, area,…

Q: Solve the differential equation (x – 3y + 2) dx + (3x + 9y – 12) dy = 0

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Q: solve the differential equation. (x - 2y + 4)dx + (2x - y + 2)dy = 0

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Q: Solve the differential equation dx+ xydy = y²dx+ ydy

A: Given equation is: dx+xydy=y2dx+ydy

Q: Solve the differential equation: xdy/dx + x2y = 3x2 , y(1)=6

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Q: Solve the differential equation d2y/dx2 −4dy/dx+2y = e^xsin^2(x/2)

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Q: solve the differential equation dy/dx=(4x+y+1)^2

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Q: Solve the differential equation. 15xy 2) dx dy = 15/xy

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Q: Solve the differential equation y' + 2x"y= 6y'x*

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the differential equation: dy/dx = y3/(1-2xy2).

A: Differential equations of the form;   where M and N are functions of x and y, are said to be exact…

Q: Solve the differential equation.   dy/dx=(x-2)/sqrt(x^2-4x+5)

A: Given differential equationdydx=x-2x2-4x+5⇒dy=x-2x2-4x+5dxIntegrating both side∫…

Q: Solve the Differential Equation d3y/dx 3 – 5d2y/dx2 + 25dy/dx – 125y = 0

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Q: Solve the linear differential equation dy y 2x2 - dx

A: Given differential equation is dydx - yx = 2x2