Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 11x)y², y(0) : = 4 y(x) = =

Q: find the general solution of the given equation. y'' + 16y = 0

A: Given , y''+16y=0Lrt , y=Aemx≠0be the trial solution of the given differential equation .Then…

Q: find the general solution of the given equation. y'' + 25y = 0

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Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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Q: Find the general solution of y""- 5y"- 6y'=0

A: The given differential equation y'''-5y''-6y'=0

Q: Find the particular solution. y' = ex − 8;    y(0) = 9

A: Given, y' = ex − 8

Q: Solve (2x – 1)3y" + (2x – 1)y' - 2y = 8x? – 2x + 3 %3D |

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Q: Find the value of y (0.4) if y' + 0.2y = 0, y(0) = 5. Solve analytically.

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Q: Solve the IVP by substitution. (3x2 - 2y2)y' = 2xy;  y(0) = -1

A: Substitute  x = vy and than solve using method of separation of variables.

Q: what is the answer? y' = e2x + 3y

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Q: Solve the following first order linear differential :equation 3Y + 3y – (7x + 1) = 0, y(0) = 2 |

A: the given differentital equation is the first order linear differential equation which is…

Q: Q1) Solve a first order differential equation. dy -x + Vx² + y² dx y

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Q: State the general form of a particular solution to y" + 3y' – y = 3te-24. (Do not solve for the…

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Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0