dy %3D ху + 3х — 2у — 6 dx -

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- ydx + x (1+y) dy= 0

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Q: dy 6x/16 – y2, – 4 < y < 4 dx

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Q: (ど+リさす。 -- dx + lê+1)e"dy-0 dy xy+3X-4-3 dx xy-2x+44-8

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

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Q: y(4) + 2y" + y = (x – 1)?

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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 given differential equation by separation of variables. dy dx e6x + 5y

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Q: dy = 2xV1 – y² dx

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Q: dy xー+y dx

A: Given differential equation is: xdydx+y=1y2 We have to solve the above differential equation. Then…

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

A: To solve the given differrntial equation by using separation of variables.

Q: Solve the given differential equation by separation of variables. dy - (y- 9)2 dx = 0

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Q: Solve the separable differential equation. dy = 3x (y? + 1) dx

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Q: Solve the differential equation. dy 5x√y dx

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Q: Solve the given differential equation by separation of variables. dy - xy + 3x - y - 3 dx xy - 4x +…

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Q: Solve the given differential equation by separation of variables. dp = P - p² dt et+c P = _t+c X

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Q: Solve the given differential equation by separation of variables. dy 2y dx

A: xdydx=2yxdydx=2ydyy=2dxxNow integrate on both sides∫dyy=2∫dxxlny=2lnx+Celny=e2lnx+C…

Q: Solve the given differential equation by using separable variables. 1. dy x-5 = dx y²

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Q: Solve the given differential equation by separation of variables. xy + 5x - y -5 xy - 2x + 6y - 12…

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Q: dy 2x dx = 3xy + y? ;y(1) =-2

A: dydx = 3xy+y22x2

Q: Solve the given differential equation by separation of variables. dy : 6y dx

A: The solution is given as

Q: ydx + x(x*у — 1)dy %3D 0

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Q: Solve the given differential equation by separation of variables. dy xy + 5x - y - 5 dx xy - 2x + 6y…

A: We can solve the given differential equation by using the variable separable method.

Q: Solve the differential equation dy 2xy +3y – 4x – 6 by variable separable method dx

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Q: Solve the differential equation dy 2y3 dx yx? + y3

A: Given:            dydx=2y3yx2+y3

Q: Solve the differential equation dy/dx = (1 + y) ex , y 7 -1.

A: Consider the following differential equation: dydx=1+yex11+ydy=exdx Integrate both sides of above…

Q: Solve the Cauchy-Euler differential equation d'y dy +2x-20y xr + 2x +1 dx dx

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Q: solve the first order homogenous differential equation (x² + æy) dy = (æ² + y²) dæl

A: The differential equation is given as x2+xydy = x2+y2dx It can be rewritten as dydx = x2+y2x2+xy…

Q: Solve the differential equation: dy + (4x – 7)y = 5x° dx

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Q: Find the general solution of the separable differential equation dy dxy (2x + 3) e3y

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Q: State the order of the given ordinary differential equation. d3y dy 4 + y = 0 dx3 dx

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

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

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Q: Solve the linear differential equation dy y = 2x2 - %3D dx x

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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: (x* – y*)dx + xy³dy = 0 -

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Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16…

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

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Q: Solve the first order differential equation. (x3 + y4) dx + 8y3xdy = 0, when x = 4, y = 1/2

A: Explanation of the answer is as follows

Q: Solve the differential equation dy + y = 4xy³, y(0) = 1 dx

A: We have to solve the given initial value problem dydx+y=4xy3,  y(0)=12 .

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

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Q: Solve the given differential equation by separation of variables. dy exy e-Y + e-4x - y xp

A: Given the separation differential equation : exydydx = e-y + e-4x-y exy dydx = e-y + e-4x  .e-yexy…

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 the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

Q: Solve the given differential equation by separation of variables. dy X- = dx 8y Cx8 X

A: We have to solve the differential by separable method

Q: y²dx + (xy – 1)dy = 0

A: First of we will check whether given DE is exact or not

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

A: This ODE can be solved as follows:

Q: Solve the differential equation: dy + 2xy = y da

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Q: Solve the differential equation. (dy)/(dx)=80-2y, such that y=70 and x =0.

A: we have to solve the given differential equation. dydx=80-2ysuch that at x=0 , y=70

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

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

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.