dy (2y-2) %3D dx

Q: Find an explicit solution of the given initial-value problem. dx dt 8(x² + 1), ×(Z) = 1 4

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Q: Find the exact solution y to the initial-value problem dy/dx= x y^(1/2), y(1) = 4.

A: It is exact solution to the initial value problem.

Q: Find the explicit particular solution of the initial value problem given. dy/dx = ye^7x, y(0) = 9e

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Q: Find an explicit solution of the given initial-value problem. dx dt = 2(x²+1), x( ) = 1 X = Submit…

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Q: The function f (x) = e-® + 1 is a solution to the initial-value dy problem dx 1 -, y (0) = 1. True…

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Q: Find an explicit solution of the given initial-value problem. V1- y? dx V1-х2 dy %3D0, у(0): у%3D х…

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Q: Solve the given initial-value problem. Give the largest interval I over which the solution is…

A: We have to find the solution and the interval.

Q: Find an explicit solution of the given initial-value problem. x2dy 3D у - ху, у(-1)%3D -4 dx

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

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Q: Find an explicit solution of the given initial-value problem. 1 V1-у? dx - V1-x2 dy — 0, У(0) y =

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Q: Find the explicit particular solution of the initial value problem given. dy/dx = ye^9x, y(0) = 10e

A: Given. dy/dx = ye9x  => 1/ydy = e9xdx

Q: dy 2 %3D

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Q: a.Find the solution of the given initial value problem in explicit form. b.Plot the graph of the…

A: The given problem is: xdx+ye-xdy=0y(0)=1 a) Finding the solution in its explicit form: So,we have:…

Q: the initial-value Selving problem dy = ty =COSX-S cosx-Sinx ty くXO.5 y a Using of a) Compute the…

A: a. we have  given initial value problem dydx=cosx-sinx+y   ...(i)    0≤x≤0.5  , y(0)=0equation (i)…

Q: Solve the initial-value problem. dy = dx 4 √x for x ≥ 1 with y(1) = 3 The solution to the…

A: You must have idea how to find solution for differential equations.

Q: Solve the given initial-value problem. dy dx y(x) = = x + 4y, y(0) = 6 Give the largest interval I…

A: Given differential equation is dydx=x+4y, y0=6.

Q: VT - ỷ dx – VT-x dy = 0, y(0) V3

A: We have to solve given problem:

Q: Find an implicit and an explicit solution of the initial value problem: y? – 1 dy x2 – 1' y(2) = 2…

A: Given differential equation: dydx=y2-1x2-1 ,  y(2)=2

Q: dy (x + 1)+ y = In x ;y(1) = 0 %3D

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Q: Find an explicit solution of the given initial-value problem. dy = y sin x? , y(-2) = ; dx

A: The given equation is: dydx=y2sinx2, y-2=13

Q: 4. Solve the initial value problem- dx dy 3x? +4x + 2 2(у-1) y(0) = 2 and state the interval in…

A: Given differential equation is : dydx=3x2+4x+22y-1 To solve the given differential equation.

Q: 21. dy 2xy = 3y, y(1) = } dx

A: First we convert the given Bernoulli differential equation into linear differential equation, after…

Q: Find the unique solution of the Attached second-order initial value problem?

A: We have to find solution of given second-order initial value problem.

Q: Find an implicit and an explicit solution of the given initial-value problem. dy y – 1 dx x? - 1'…

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Q: Solve the given initial-value problem. (x + 1) dy + y = In(x), y(1) = 25 dx y(x) = Give the largest…

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Q: Find the solution of the given initial value problem in explicit form πT sin (2x) dx + cos (3y) dy =…

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Q: Find an explicit solution of the given initial-value problem, and define the exact interval I of the…

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Q: Solve the given initial value problem by using the method of exactness.  xy dx+(2x2+3y2-20)dy=0,…

A: First identify M and N and check that the differential equation is exact.

Q: a.Find the solution of the given initial value problem. b.Plot a graph of the solution.…

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Q: Consider the following initial-value problem (IVP): dy x dx = y - x dx y(1) = 1 A.5.a. Find the…

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Q: Find an explicit solution of the given initial-value problem. x2 dy = y - %3D у — ху, у(-1) %3D -1…

A: Firstly we will solve the given differential equation by using variable separable form then…

Q: Solve the given initial-value problem. (y2 cos(x) – 3x²y – 4x) dx + (2y sin(x) – x³ + In(y)) dy = 0,…

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Q: Find an explicit solution of the given initial-value problem. +²dy x=y=xy, y(-1) = -4 dx y =

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Q: Use Euler's method with h = 0.25 to solve the following initial-value problem over the interval from…

A: As per the question we are given a first order differential equation as : dy/dx = yx2 - 1.1y With…

Q: Find an explicit solution of the given initial-value problem. %3D у — ху, у(-1) %3D —5 dx y = 5C

A: Given differential equation is x2dydx=y−xy ⇒x2dydx=y1−x⇒dyy=1−xx2dx⇒dyy=1x2−xx2dx⇒dyy=1x2−1xdx…

Q: a.Find the solution of the given initial value problem. b.Plot a graph of the solution.…

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Q: Solve the given initial-value problem. dy + y = In(x), y(1) = 20 dx (x + 2) y(x) = Give the largest…

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Q: Solve the initial-value problem. dy dx 3 for x20 with y(0) = 4 The solution to the initial-value…

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Q: Determine the solution y(x) of the initial value problem dy = 6xy, dx y(0) = 7 and state the…

A: Given:     dydx = 6xy        , y(0) = π

Q: Solve the initial-value problem shown below: 6ty dy t2 +1 y (0) = 1/2 . dt Give an exact formula for…

A: Given differential equation is Integrating both sides, we get

Q: Solve the given initial-value problem. dx1 X1 (t) with x, (0) = - 3 and x2(0) = - 1. X2 (t) dt 3 12…

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Q: Find the particular solution for each initial value problem.

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Q: Solve the separable differential equation dx 2 dt and find the particular solution satisfying the…

A: Please see the below picture for detailed solution.

Q: Solve the D.E, and when the initial-value condition is given, find the Particular Solution. ?dy…

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Q: Find an implicit and an explicit solution of the given initial-value problem. (Use x for x(t).) dx…

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Q: Solve the given initial-value problem. Give the largest interval I over which the solution is…

A: We will solve the given differential equation as shown below

Q: =e*", y(0)=1. dx Find the solution of the initial value problem

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Q: Find an explicit solution of the given initial-value problem. y? dx - V1- x² dy = 0, y(0) = %3D

A: detailed explanation below

Q: Solve the given initial-value problem. dy X- +y=6x + 1, y(1) = 7 dx y(x) = Give the largest interval…

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Q: Find an explicit solution of the given initial-value problem. dy y (2) = 2 %3D dx x2-1

A: An equation which involves the derivative or differential coefficient is called differential…