(x + 4y³)dy – ydx = 0

Q: solve the differential equation p2-7p+12=0,wherevp =dy/dx

A: First solve the given quadratic in p i.e. p2-7p+12=0 by splitting the middle term in such a way that…

Q: Solve the differential equation dy dx +2y = e-*

A: The differential equation is given by dydx+2y = e-x

Q: Solve the differential equation: yy" + (y'} = 0

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Q: Solve the differential equation: dy + (2x – 7)y dx 8x9

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Q: Solve the differential equation d2y/dx2 − 2dy/dx + 4y = exsin2(x/2).

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Q: Solve the differential equation y" + 16y 2cos z.

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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 dy + x(2y - ex-x2) dx = 0

A: We have given the differential equation; dy + x(2y - ex-x2) dx = 0

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+5D+4)y=2 sn ax

A: The given differential equation is   (D2+5D+4)y=2 sin(ax)

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: Solve the differential equation dy/dx = xy + 3x - 2y - 6

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Q: Solve the differential equation; yy + 25x = 0 %3D

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Q: yl" +4y/+3y =1

A: we will solve this by using Laplace transformation. Consider the equation y''+4y'+3y=1. Take Laplace…

Q: Solve the differential equation 1.) dy = (y²xe^3-3x²y)dx

A: Please see the below picture for detailed solution.

Q: Solve the differential equation by linear method dy 4 -2(x+1)* dx (x +1)

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

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Q: 1. dy x3 dx 2+y² ||

A: Solve the differential equation

Q: dy 3r'y² || dx

A: We solve the differential equation as

Q: Solve the differential equation: xy' – y = 2x Inx 1.

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Q: Solve the differential equation dy dx V1- = 0

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

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

Q: Solve the differential equation: y3 dx + 3xy2 dy = 0

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

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Q: Solve the Differential Equation x² (y² +3) y(x³+1) dy + dx = 0

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Q: y+2y)dx+(xy²+8j"-4x)dy=0

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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 de 4d³-13 +6y=0 dy dx

A: The given differential equation is 4d3ydx3-13dydx+6y=0. We have to solve the differential equation.

Q: Solve the differential equation. dy + 2y = - 1 x > 0 dx

A: Given differential equation, xdydx+2y=5-1x         ...(1)

Q: Solve the differential equation using [y(0)=1} to find C 2æydx + (x² + 3y) dy =

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

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Q: Solve the differential equation: dy/dx=-8y with the initial condition of y(0) =3

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Q: Solve the differential equation: x(1+ y²)'/²dx = y(1+ x²)/?dy

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: dy 6x²y² for y + 0

A: We have to solve given problem:

Q: Solve the differential equation: y''+4y = 0

A: Solve the differential equation: y''+4y = 0

Q: Solve the differential equation. dy/dx = 3x2y2 for y ≠ 0

A: This question can be solved by seperating x and y terms and doing integration.

Q: Solve the differential equation ydx (2x + 1) (dæ – dy).

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Q: Solve the differential equation: yy'=t2

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

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Q: dy dx || x3 2+y²

A: Given differential equation, dy/dx= x³/(2+y²) So, (2+y²)dy=x³dx

Q: yll + 2y1 + 2y = 0

A: We solve it letting a trial solution.

Q: Solve the differential equation dy/dx = 5-2x/3y2-2

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Q: xy'y = x + 1

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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 = 6e^(2x- y) when x O when y = 0.

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Q: (2x+ykdx– 3(2x+ y+4)dy=0 1.

A: Note: We are required to answer only the first question, unless specified.