Find the solution of the differential equation dx dx -2 d? I+x= e with x= dx -1 at t 0. dt

Q: dy + у 1-y %3D ху dx

A: Here I am attaching image so that you understand each and every step.

Q: Find the particular solution of the differential equation dy 6x° e -x* : y(0) = 3 dx

A: We need to integrate both sides for particular solution

Q: (b). Use the method of separation of variables to solve the differential equation y? dy = In x x3 dx

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Q: Find the general solution of the differential equation dy/dx = 2.

A: dy/dx = 2 Integrate both sides w.r.t x to get: y = 2x + C where C is the constant of integration

Q: Find the general solution of the differential equation.

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Find the solution to the differential equation =(2x + y cos xy) dx + x cosxydy = 0

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Q: solve the differential equation dy * y t (yt-x*) ニ ans : -in ( )

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Q: Solve the differential equation d'y dy +4 = e-3x %3D dx dx by using the method of variation of…

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Q: Solve the differential equation. dy 3x2y2 dx for y + 0

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Q: Find the general solution of the differential equation 2 = -5(y – 3). dy %D dt

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Q: "-y = x e* Cos?x

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Q: find the general solution of the differential equation dy/dx+ycotx=5e^cosx

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Q: The solution of the differential equation x dy/dx = y + x tan y/x is: X

A: We solve the given differential equation.

Q: Find the complete solution of the differential equation dy dy +3 dx - 5y = e-2X sin2x dx?

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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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 x²y= (x + 1)(y + 1) dx

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Q: dx -x+3у dt dy -3х + 5у dt

A: Given the differential equation is  dxdt=-x+3y......idydt=-3x+5y..........ii…

Q: Solve the given differential equation by separation of variables. e*y dy = e-y + e-6x - y dx

A: Types of differential equations separable differential equation Homogeneous differential equation…

Q: Find the general solution to a differential equation with linear coefficients: dy dx x+y-5 x+y+1

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Q: Use an appropriate substitution to find the general solution of the differential equation dy = (x +y…

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Q: Determine the particular solution of the differential equation dy y -= 3xe7* ; y(1) = 0 dx

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Q: Find the general solution for differential equation.

A: Find the general solution or differential equationdydx=ex+xy-1

Q: Find the particular solution of the differential equation. dy - 7x° e -x' ; y(0) = 4 dx

A: Use substitution method to solve differential problem.

Q: Solve the differential equation.

A: Given differential equation is dxdt=1-t+x-tx Solution: Given differential equation can be written…

Q: xy dx + ex° dy = 0 X

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Q: What is the general solution to the differential equation d/dx [dy/dx] =6x+3 ?

A: We have ddxdydx = 6x + 3. d2ydx2  = 6x + 3 Let dydx = y'. d2ydx2 = y'' Therefore, the given…

Q: Solve the differential equation dy xy y(0) = -3. dx V1+ x? There is no need to isolate y.

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Q: Find the general solution for differential equation.

A: Given differential equation is x lnxdydx+y=2x2. Differential equation can be written as: x…

Q: Solve the separable differential equation dy e*ye®* dx with initial condition y(0) = 1.

A: Given : dydx = exyeex

Q: Solve the differential equation. dy = 5x dx Vy for y + 0

A: The solution are next step..

Q: У (х + 1) dy dx хз + x2 -2х У(1.1) — 0.5

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Q: Find the general solution for the differential equation dy/dx=y2(1+ex)

A: the given differential equation is: we have to find the general solution for the given differential…

Q: Solve the differential equation dy/dx = ex-y + ex + e-y + 1

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Q: dy x + ( 1+x)y = e -x sin2x dx

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

A: the differential equation given to us is  dydx=x+3 we will use variable separable in which dx  will…

Q: 1. Find the general solution of the differential equation: dy, dy + dx3 dºy dy = 0 dx6 dr5 dx?

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Q: Find the general solution of the differential equation yy′ = −8 cos( x)

A: Given: yy'=-8cosx for finding solution of given differential equation, we use variable separable…

Q: . Solve the differential equation dx 8 7. + di? 1, L are constants subject to the conditions, where…

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Q: Solve the differential equation. dy dx 8x(y² + 1) n(4x² + ) X tan

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Q: 5. y sec?xdx - (1 – 2y?tanx)dy = 0

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Q: Find the general solution of the differential equation. dy = xy + 3x dx

A: To find the general solution of the following differential equation.dydx=xy+3x

Q: Solve the differential equation. dy = xVy dx for y + 0

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Q: dy Vx ev+Vx dx

A: Given:        xdydx=ey+x

Q: x Iny dx + (x- In y)dy = 0

A: Use  term 'y ln (y)' instead  of 'x ln(y)' then we get the solution to DE.

Q: Find the general solution of the differential equation (x* + 2y*)dx – xy³dy = 0

A: The given diffrential equation is (x4+2y4)dx-xy3dy=0

Q: Find the Solution to the Differential Equation (x+2y) dx - (2x-y) dy=0

A: The given differential equation, x+2ydx-2x-ydy=0 use the integral formulas,…

Q: solve the differential equation. xy3 dx + (y + 1)e-x dy = 0                         when y(0) = 1

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Q: Solve the differential equation: dy 1 1 1)y – x +1 = 0, y1= ax - - dx

A: The given differential equation is dydx-y2x-21x-1y-x+1=0. Substitute y=ax in the above equation and…