dx 10х — х2, x(0) dt

Q: Solve the differential equation dx/dt = 1 - t +x -tx for x(-1) = -2

A: Given : dxdt = 1 - t + x  - txx-1 = -2

Q: Solve the differential equation dz/dt + 3et+z = 0

A: Use variable separable method for solving differential equation

Q: Solve the initial value problem y dy/dx = sin 2x ; y(0)=2

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Q: dy - y = 8e' + 8e* dt (0) = 9.

A: See the details solution in below

Q: Solve the initial value problem.

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Q: Solve the differential equation. dz + 4et + z = 0 dt

A: This equation can be solved by variable separable form.

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

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

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Q: Solve the initial value problem (7). dX 2, X() = (). -3 1 X + -2 1 dt

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Q: Find the solution of the differential equation that satisfies the given initial condition. dp/dt =…

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Q: dy sin(t) + 1 dt

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Q: Solve the initial value problem dy/dx = sin(πx), y(2) = 2

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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: Solve the initial value problem. dy -=x°(y- 3), y(0) = 8 dx

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Q: - ydx + (x ++ Vxy )dy = 0

A: Given  -ydx+(x+xy)dy=0 To find solution of this Differential Equation:

Q: Solve the separable differential equation da = x* + dt and find the particular solution satisfying…

A: The differential equation is dxdt=x2+19. The value of x0=5.

Q: Solve the differential equation: dx/dt = 5/x  x(0) = 6

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Q: Solve the initial value problem. dx dt -4tx=t Int+3, x(1) = 0

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Q: Solve the initial value problem dy sin x У (0) %3D 2. dx 3y

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Q: Find the differential equation of Solve: (2x−2y−1)dx−(x−y+1)dy=0

A: We have to solve

Q: Solve the differential equation.

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

Q: Solve the differential equation and find the domain: xydy/dt +3x2 + y2 = 0 , y(3) = 8

A: The given differential equation should be  xydydx+3x2+y2=0 Here is the solution of the given problem…

Q: dy Solve the differential equation Inx 1-y' by variable separable method dx

A: We have to find solution

Q: Solve the initial value problem for the differential equation: xy' = y + x2 sinx where y(n) = 0

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Q: Solve the initial value problem.

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

A: The solution are next step..

Q: Solve the initial value problem + y cos x = dx sin 2x, y(n) = 0)

A: To solve the given initial value problem.

Q: (1² +21) dx dt = = 2x + 2 (t, x > 0), x(1) = 1

A: Given that: t2+2tdxdt=2x+2 ; x(1)=1. Find the solution of this initial value problem.

Q: Solve the initial value problem dy/dx= 1+x+x^2/2, with y=1 when x=0.

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Q: Solve the initial value problem (x² + 4)- dy + 3xy = x, y(0) = 1. dx

A: Given the differential equation,  (x2+4)dydx+ 3xy = x , y(0) = 1 (x2+4)dydx+ 3xy=x(x2+4)dydx=x -…

Q: dx 10x – x2, dt x(0) = 1 -

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Q: Solve the initial value problem. dv 8 t> 1, v(2) = 0 dt

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Q: Solve the differential equation dy/dx = 5y2/sqrt(x) Initial condition: y(9) = 1/20 Therefore y(x)…

A: First, we separate the variables dydx=5y2xdyy2=5dxxy-2dy=5x-12dx

Q: Solve the differential equation with the given initial value condition: dy/dx = xy + 2x ; y(0) =

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Q: Solve the initial value problem. y + y = sin (5x), y(0) = 1

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Q: Solve the initial value problem.

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Q: Solve the differential equation dy dx 3y3 1 %3D By the method of separating the variables

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

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

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Q: Solve the given differential equation by variation of parameters. ху" — 8y' %3D х* y(x) = ,x > 0

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Q: Apply the integrating factor method to solve the differential equation dy (a) =+x2 - 2. %D dx

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Q: 3. Solve the initial value problem of y(-1) = 0 dx x+3

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the general solution to the differential equation. dx 130 dt : = 3r° (x² + 4) -

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Q: Solve the differential equation by variation of parameters. 3y" 6y' + 6y = ex sec x y(x) =

A: Given :  A differential equation 3y''-6y'+6y=ex secx. To find : The solution of a differential…

Q: Solve the initial value problem. dy + 5xy = 8x, y(0) = - 6 dx y =

A: topic - differential equations

Q: Solve the differential equation dy/dx = 4 sin 2x ; y = 2, when x = π/2

A: Given: dydx=4 sin 2x Also given that x=π2…

Q: Solve the initial value problem. dy 2xy = 8x, у(0) — 0 dx y =

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Q: Solve the initial value problem dy y = 5e" + 28e5* dx with y(0) = 8.

A: The solution of differential equation is given as follows :

Q: Q2: Solve the differential equation ; dy sin x + 1 ,y(0) = -1 dx

A: The differential equation is given by dydx = sinx+1          The initial condition is given by y0…