Solve the following initial value problem:  (t2 -10t +21)*dy/dt = y with y(5) = 1

Q: Solve the initial value problems t dy/dt + 2y = t3 , t > 0, y(2) = 1

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Q: Solve the initial-value problem (4y−cos y) dy /dx −3x2 = 0, y(0) = 0

A: 4y-cosydydx-3x2=0 On simplification, we get ⇒4y-cosydydx=3x2⇒4y-cosy dy=3x2 dx Now integrating on…

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

A: See the details solution in below

Q: Solve the the initial value dy problem dt 2t y + t?y Y(0) = -2.

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Q: Find the solution to the initial-value problem. dy = y³xe*, y(0) = 1 dx II

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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: Solve for the initial-value problem. d?y - 4y = 2u(t), y(0) = 1, y'(0) = -2 - dt2

A: We will find out the required solution.

Q: What is the solution to the initial value problem: (dy)/(dt)=ye^t;y(0)=-1?

A: Given:

Q: Solve the initial value problems d3r/dt3 = -cos t; r''(0) = r'(0) = 0, r (0) = -1

A: Given: Initial Value problem To Find: Solution of the above differential equation

Q: solve the Initial Value Problem. dy/dt= ye−t , y(0) = 1

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Q: Find an explicit solution of the given initial-value problem. dx 8(x2 + 1), dt IT 1 %3D 4

A: We need to find explicit solution.

Q: Solve the following initial value problem: y(t) = = dy dt +0.9ty = 6t, y(0) = 1

A: Given: dydt+0.9ty=6t,      y0=1

Q: Find an explicit solution of the given initial-value problem. (1 + 1*) dx +t (1 + 4x²) dt = 0, x (1)…

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Q: Solve the initial value problem. dx 3. t2 + 3tx = t* In t + 1, x(1) = 0 dt

A: To solve the initial value problem.t2dxdt+3tx=t4 ln t+1,     x1=0

Q: dy sin(t) + 1 dt

A:

Q: Find an explicit solution of the given initial-value problem. (4)- dx 7(x² + 1), dt x = 1 %3D

A: To find an explicit solution of the initial - value problem : dxdt = 7x2+1 , xπ4 = 1

Q: solve the initial value problem dy/dt=2sqrt(t), y(1)=5

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Q: Solve the initial-value problems dy y(1) = 2 dx dy = cos t + 1, dt 2

A: To solve the given initial value problems

Q: Solve the initial value problem. dy + 3y – e -* = 0, y(0) = dx 2

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Q: Solve the following initial value problem: dy dt - 3y + 21 y (0) = 10 y(t) =

A: The general solution of a differential equation always contains a constant of integration. The…

Q: Solve the initial-value problem. 3 dy + 3t²y = 2 cos(t), y(¹) = 0 dt

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Q: Discretize the differential equation y"+y' +4ty= {t – )), y'(0) = 2, y'(3) = -2 with step-size h =

A: The differential equation given is as follows y''+y'+4ty=δt-32, y'0=2, y'3=-2 The central difference…

Q: 2. Solve the initial value-problem: . dY dt Y with Y(0) = (1,0). - 4

A: The solution is given as

Q: Solve the following initial-value problem: 3y² - t² dy t = 0; y(1) = 1 2yA dt

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Q: Solve the given initial value problem for y=f(x) 1) dy/dx=3x-2 where y=2 when x=-1

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

A: To solve the differential equation dPdt=Pt,        P1=6

Q: Solve the following Initial Value problem in the form y = f(t) (dy/dt) = -2y + t^2, y(0)=1

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Q: Solve the initial value problem dy/dt+ xy = x, y(0) = -6

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Q: Solve the initial value problem.

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Q: Find the solution of the differential equation that satisfiesthe given initial condition.

A: Given information: The differential equation is dPdt=Pt. Calculation: Solve the given differential…

Q: Solve the initial-value problem dy/dx+(3/x)y=x^2+x, y(1)=4

A:

Q: Solve the initial-value problem dy :=-2y+u2(t)e~', y(0) = 3. dt

A: According to the given information, it is required to solve the initial value problem.

Q: solve the initial value problem. (x+1)dy/dx+ 2y = x, x >-1, y(0) = 1

A: Write the equation as linear differential equation.

Q: Solve the initial value problem dy/dt+ 2y = 3, y(0) = 1

A: Given,

Q: Solve the initial value problem u(t) du dt 4u-+-3t u(0) = 9

A:

Q: Solve the following initial value problem: y2t (dy/dt) - t + 1 = 0 ; y(1) = 3

A: Given: -

Q: solve the initial value problem dy/dt = (1+y^2)/1+t, with y(0)= 1

A: According to the given information it is required to solve the initial value problem.

Q: Solve the initial value problem. 5μ 2. dy dt 2t sin y. y(1)=- The solution is

A:

Q: Solve the initial value problems dy/dt = 8/1 + t2 + sec2 t, y(0) = 1

A: To Determine: Solve the initial value problems Given: we have…

Q: Solve the initial value problem dy - y = 2e' + 8e5t dt with y(0) 10.

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Q: Solve the initial value problem tdy/dt + 2y = t3 , t> 0, y(2) = 1

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Q: Solve the initial value problem y(t) = dy dt Y t + 1 + 4t² + 4t, y(1) = − 1

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Q: Discretize the differential equation y" – y' + 4ty = 5(t + ), y'(-2) = 0. y'(1) = 0 with step-size h…

A: Using center difference method, we can approximate y' and y" as follows.…

Q: Solve the following initial value problem (t^2-12t+27)dy/dt=y with y(6)=1 On what interval is the…

A: Solution is given below:

Q: Use Euler's Method to approximate the solution of the initial value problem.  dy/dt=t-y…

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

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Q: Find the solution of the initial value problem dy = -y+e'y?, y(-1) = -1 dt

A: We have to find the solution of the initial value problem…

Q: solve the bernoulli equation dx +1x' + = 0 +tx dt

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Q: Solve the initial value problem (dy/dt) + 2y =7 , y(0) = 1

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Q: 4. (a) Solve the initial value problems, dy = sin t + 1; yE)=; dt (b) Evaluate V1 – x² dx. |

A: