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

Q: Solve the initial value problem. +y = sin z, = sin r, I> 0, y(;)=1

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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: y'(1) = y³ sin t, y(0) = 1

A: Given, The initial value problem y't=y3sint   and  y0=1 We have to find whether the equation is…

Q: Solve the initial-value problem. dy + 31?y = 2 cos(t), y(7) = 0

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Q: Solve the initial-value problem y" + y = e-4 sin t, y(0) = 0, %3D y'(0) = 0. %3D

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Q: Solve the given differential equation by using an appropiate substitution. x dx +(y-2x)dy=0

A: Consider the provided differential equation.

Q: The solution of the following second order differential equation: d'y(x) dy + x? y(x) = 0, is da dx?

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Q: Solve the solution of the DE of the Doomsday Equation: dy ky(l+c) dt

A: We will find out the required solution.

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: Determine whether the following equation are separable. If so, solve the initial value problem.

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Q: Solve the seperable differential equation for. dy 1+ x ;x > 0 xy5 dx Use the following initial…

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Q: Find the solution of the given initial value problem. cos t Y t y(T) = 0, t >0 -- t-6 y(t) : ||

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Q: Solve the following pure-time differential equation with the given initial condition. dy 2 dx where…

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Q: Solve the following autonomous differential equation with the given initial condition. dy = - 0.4y,…

A: The answer and the detailed explanation is given below-

Q: dy y? – 1 y(7) = 7 1 dx - y =

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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 solution of the given initial value problem in explicit form. sin(2r) da + cos(5y) dy = 0,…

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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: Determine whether the following equation is separable. If so, solve the given initial value problem.…

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Q: Find the solution to the initial-value problem. dy = y?e% sin(8x), y(0) : dt У

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Q: Solve the initial value problem: dy 1+y? + cos x - 2xy) = y (y + sin x); y (0) = 1 dæ

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Q: Use the method of your choice to find the solution of the following initial value problem. y '(t) =…

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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: Solve the following autonomous differential equation with the given initial condition. dy - 0.2y,…

A: The given differential equation is dydx=-0.2y   where  y0=70. Solve as follows. dydx=-0.2ydyy=-0.2…

Q: Solve the following autonomous differential equation with the given initial condition. dy dx - 0.4y,…

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

A: To solve the given initial value problem.

Q: Find the series solution of following differential equation. а?у , dy x- + +y = 0 dx² ' dx

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Q: Solve the non-Linear differential equation dy sin a (2 sin y – cos? x),given that Cos y dx T = 0.

A: First I have convert the given non-linear differential equation I to first order linear differential…

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

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

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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: Solve the following pure-time differential equation with the given initial condition. dy 1 where…

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Q: Solve the following initial value problem for y: dy +e=2#, y(0) = 0 -2x COS dx

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Q: Find the solution of the given initial value problem in explicit form. 71 ㅠ sin(2x) dx + cos(6y) dy…

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Q: Given the differential equation xy³dx + (x²y² + 1) dy = 0, What is SN dx ?

A: We are asked to find the δNδx

Q: Given the differential equation = , dy find the particular solution, y = f(x), with the initial…

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Q: . Solve the given initial-value problem. (Exact Equation) (x + y)² dx + (2xy + x² – 1) dy = 0, y(1)…

A: Given : (x+y)²dx+(2xy+x²-1)dy=0 ; y(1) =1 To find : General solution of given DE

Q: Solve the given initial-value problem. dx y = 5y², x(9) = 1 dy

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Q: Solve the following autonomous differential equation with the given initial condition. dy - 0.1y,…

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Q: Find the solution of the given initial value problem. ty + 2y = sin t, y(G) = 3, t> 0

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

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

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

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

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

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Q: Given the differential equation ydr - (x + 6y²) dy = 0, What is M ? O -1 O y O 1

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Q: Given the differential equation y dx + (ry-1) dy = 0, What is &N O Fy Oy - 1

A: Given differential equation is compared with exact form and then find the required one as shown…