dy x In x + y = 2x² dx

Q: y' - y = xe". a²y'+ay+2= 0.

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

Q: Find the general solution of the differential equation.

A:

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

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Q: Find the general solution for each differential equation.

A: we have to find the general solution of the given differential equation. dydx+2xy=4x

Q: Find the general solution for each differential equation.

A: Explanation: Given that a differential equation: dydx=ex+xy-1

Q: dy dx e5x+4y = e

A:

Q: dy dx x+y2

A:

Q: Find the general solution in the differential equation xdy + ydx = 2(x^2)(y) dx.

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Q: Find the complete solution of the differential equation d2y/dx2 −6dy/dx+9y = 6e^3x +7e^−2x −log2.

A:

Q: Find the solution of the differential equation xdy – (y - xe*)dx = 0

A: We have to solve the differential equation…

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

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Q: xy メy = x2++? dメ

A:

Q: Solve each differential equation, subject to the given initial condition. x(dy/dx) - 3y + 2 = 0;…

A: The given differential equation is,            xdydx-3y+2=0 This can be written as,…

Q: Solve the given differential equation 3. d²y dy dy = x² dx² dx dx

A: Given the differential equation :

Q: Find the general solution for each differential equation.dy/dx + 5y = 12

A: Here given differential equation  dydx+5y=12dydx=12-5ydy12-5y=dx

Q: dy +3y = 3x²e-3x dx

A: It ia Linear differential equation.

Q: Solve the differential equation ydx + x (y? + In x) dy = 0.

A: Idea: make it into exact differential equation by multiplying integrating factor. then write the…

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

A:

Q: xe'dy + +1 da = 0

A: A detailed solution is given below

Q: Solve the differential equation. exdy + 4ex y = 3, x > 0 dx

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Q: The solution of the differential equation (e* +1)ydy =(y+1)e* dx is:

A:

Q: Find the general solution for each differential equation.

A: The given differential equation is, dydx=3x2+ex4y3 On separating the terms, we get…

Q: dy x3 dx 2+y²

A: Let's solve given diffrential equation.

Q: Solve the linear differential equation 2y dy + d.x 4x

A: Given equation is non homogeneous first order linear ordinary differential equation.

Q: Find the general solution of each differential equation, and when initial conditions are given, the…

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Q: solve the given differential equation. dy/dx = 2x y

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

A: Gievn equation -  (3x+2y) dx + (2x+y) dy =0

Q: Solve the given differential equation (x* + y*)dx = xy³dy.

A:

Q: Solve the differential equation dy + 5y = sec? (e5") dx

A: the given differential equation is: dydx+5y=sec2e5x the given differential equation is of the form…

Q: Find the general solution of each differential equation, and when initial conditions are given, the…

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Q: Solve the ff.differential equations, each being a Bernoulli equation. dy 1) = y(xy' – 1) - dx

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Q: 27. dx = 2 + Vy – 2x + 3

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Q: x°dy + xydx = x²dy + 2ydx; y = e when x = 2

A: Given: To Find: To solve the given differential equation.

Q: Solve the linear differential equation 2y dy + d.x = 4x

A: We have to find

Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form

Q: solve the given differential equation. 1. y′=x2y

A: we have been given the differential equation  y'=x2ydydx=x2y             (as y'=dydx) using the…

Q: Find the general solution for each differential equation.

A: We need to solve the above differential equation

Q: find the solution of this differential equation: xdy − ydx − xy^3 dx − xy^3 lnxdx = 0

A: Given differential equation: xdy−ydx−xy3dx−xy3logx dx=0 y'=yx+(1+log(x))y3

Q: dy —%3 ху — 4х dx

A: Use variable separable method.

Q: Find the general solution of each differential equation, and when initial conditions are given, the…

A: Solve the first order differential equation, by using Separation of variables method…

Q: Find the general solution for each differential equation.dy/dx = 3x2 + 6x

A: the given differential equation is: dydx=3x2+6x we have to find the general solution of the given…

Q: =*y' + xy + 2 = 0. 2xy' 2.

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Find the general solution for each differential equation.dy/dx + 3y = 6

A:

Q: Find the general solution for each differential equation.

A: Given differential equation:                                                         dydx=ex-y+x2e-y…

Q: Solve the differential equation of dy/dx + 1/3 y = e^x y⁴

A: Divide both sides of the given differential equation by y4 to obtain the right hand side y free.…

Q: Solve the given differential equation dy = e-Y. dx

A:

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.