1. Solve the initial value problem, (1/x +2y²x) dx + (2yx² – cos y) dy = 0, with y(1) = x.

Q: 1. Find (0) for a solution (x) to the initial value problem: dy = dx -2 x+3 O-3/2 O 1/2 O 2/3 02 ;…

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Q: Find the solution of the given initial value problem in explicit form. () T sin(2x) dx + cos(9y) dy…

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

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Q: Solve the given initial-value problem. (y² cos(x) - 3x²y - 6x) dx + (2y sin(x) − x³ + In(y)) dy = 0,…

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

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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: Solve the initial value problem. 14) dy 15 sin 2 x cos x, y(0) = 2 dx %3D

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Q: 3. Solve the initial-value problem: 2 dy = 2xy + 3y y(1) = dx 1

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Q: Find the solution of following differential equation x²y dy – y²x dx = 0

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Q: 3. Find an explicit solution of the given initial-value problem. dx 4(x+ 1), x(7|4) = 1 2 dy y sin…

A: 1. The given differential equation is a separable differential equation, so find the solution of it…

Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(9y) dy =…

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Q: Solution of the following differential equation dx - = sec²2y dy will be а. у %3Dtan2x + с b. 2x…

A: To solve the differential equation Use variable separable method

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: Solve the initial value problem: dy d x COSI

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Q: Solve the initial-value problem y" + y = e-2" sin t, y(0) = 0, y'(0) = 0.

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Q: Solve the following differential equation of Bernoulli: 3x dy/dx - 2y  = x3 y-2 for this initial…

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Q: Find the solution of the given initial value problem in explicit form. sin(2x) dx + cos(6y) dy = 0,…

A: The given initial value problem in explicit form is sin2xdx+cos6ydy=0, yπ2=π6. Find the solution of…

Q: 1. Solve the following differential equation. a) y/1- y² dx + (x/1- y² + y) dy = 0 . |

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Q: 3. Solve the following First Order Differential Equation: d.x y In x- dy y +1,

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Q: Solve the given initial-value problem. d²x + 4x = -7 sin(2t) + 2 cos(2t), x(0) = -1, x'(0) = 1 dt²…

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Q: Solve the initial-value problem y'′+y′=2e2x+cos(?);y(0)=1,y′(0)=1/3.

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Q: 1. Sketch the graph of the solution of the initial value problem. Hint: You are not asked to solve…

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Q: The solution of the separable differential equation – x²y² = x² is: dx None of the above…

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

A: Write the equation as linear differential equation.

Q: Q: Solve the following differential equation: In(y² + 1)dx + 2y(x-1) dy = 0 y2+1

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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: 6. Solve the initial value problem y" – y = cos(x) with y(0) = 0 and y'(0) = 1.

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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 y"+y = cosx; y(0) =1,y'(0)=-1

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Q: Find the solution of the given initial value problem in explicit form. 70 sin(2x) dx + cos(7y) dy =…

A: The given initial value problem in explicit form is sin2xdx+cos7ydy=0, yπ2=π7. Find the solution.…

Q: Solve the initial value problem. 1 dy y cos 0 0 de 2 y +1 , y(x) = 1

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Q: 4 Q3 Show that y = e* sin x is a solution to the differential equation y" – 8y'+ 25y = 0. 3 cos x-

A: The given solution is not a solution for the given differential equation

Q: Solve the initial value problem. 1 dy y cos 0 Ө dө - У(п) — 1 y' +1

A: this can be solved by separation of variable.

Q: 2. Solve the Second order differential equation d y dy 4+11 y = e“ sin 4x. dx

A: Given differential equation, d2ydx2-4dydx+11y=e-2xsin4x This can be written as D2-4D+11y=e-2xsin4x

Q: Solve the initinal - value problem dy dx » y(6)=0 COsx - Sinz +y 0Lx s0.5 Using (a) Com pute the…

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Q: Solve the following nonhomogenous differential equation: d''''y/dx'''' + 2(d'''y/dx''') +…

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Q: Let y(x) be the solution to the initial value problem y" + 2y' – 3y = = -130 e-A" cos(5.x), y(0) =…

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Q: Solve the initial value problem: dx/dt+2x=cos(5t) with x(0)=5 find x(t)

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Q: Solve the initial value problem. dy +y = 10 cos 0, 0 > 0, y(x) = 1 op

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Q: Find the solution of the given initial value problem in explicit form. 75 π sin (2x) dx + cos (7y)…

A: The given initial value problem is                        sin2xdx+cos7ydy=0,  yπ2=π7 We have to find…

Q: Solve the initial-value problem y" + y = e-2 sin t, y(0) = 0, y'(0) = 0.

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Q: У(у + 2х — 2)dх — 2(х + у)dy %3D 0 -

A: The solution is given as

Q: Solve the given initial-value problem y' + (tanx)y = cos?x, y(0) = -1

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Q: 1. Solve for y(t) for a given initial value problem y"-2y' +5y = 8e'sin2t as shown below.

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Q: Solve the initial value problem dx/dt + 4x = cos(4t) with x(0)=-2

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Q: Solve the initial value problem dx/dt+2x=cos(3t) with x(0)=−1.

A: This is a first order linear Ordinary Differential Equation of the form x't+ptx=qt Integrating…

Q: Solve the given initial-value problem y' + (tan.x)y = cos²x, y(0) = -1

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Q: 8. Solve the initial value problem: ( dy = y(y + sin x), y(0) = 1 dx + cos x – + y? 2xy

A: The given problem is to solve the given initial value problem, Firstly we have to check the…

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…