Given the following ordinary differential equation   y'=4y What is a solution for  y(x) such that it solves this ODE?

Q: Solve the following differential equations. dy/dx + 3y/x  = 6x2 when x=1, y =0.

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Q: dy dx -y dx + (x+ /xy) dy =e (x+/xy

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Q: 2. Solve the following differential equation (2y + 1)e-vy = -e²+v sin z. Give the answer in the…

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Q: d²y dy + 2b +y = 0 dx dx2

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Q: The following ordinary differential equation is given, where y = y(x) y' - xy2 = 0 At x = 0, the…

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Q: The following differential equation is considered dy - = x- 3y dx Determine whether the differential…

A: Homogeneous differential equation : If the ordinary differential equation is written in the form of…

Q: xy" = y' (1 + xy')

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Q: I. Set up a triple integral in Cartesian coordinates whose value gives the average temperature of…

A: Wolfram Alpha is a computational search engine that allows users to input natural language queries…

Q: dy Зх + 2у dx Зх + 2у — 1 ||

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Q: Solve the following differential equation by finding an appropriate integrating factor 3xdx + ((x²y…

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Q: You are given the following differential equation:  d2y/dx2 + 5 (dy/dx) + 6y = 10 cos x  What is…

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Q: 1 7y y' + x2 - х- 12 x³ -4x2 +4x -16

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Q: b. y = _t² y( 1+t )

A: we have to solve the given differential equation

Q: Solve the following first order differential equation dy/dx = (4x3y)/(3y2-x4)

A: We can solve the given differential equations.

Q: 6) The variables x and y satisfy the differential equation X = y(1-2x²), dx and it is given that y =…

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Q: the given differential equation is not exact and hence show that Solve it x²ydx -lx3+y?)dy=0

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Q: 2 (y-√√x² + y²)dx-xdy=0 when x = √3, y=1

A: Given ( y - x2 + y2 )dx - xdy = 0 when x = 3  ,  y = 1

Q: 4 dz = (4x²y + x²)dx + (²x³ — y²)dy = 0

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Q: Solve the given differential equation (x* + y*)dx = xy³dy.

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Q: In the following, verify by substitution that the given function is a solution of the giver…

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Q: Let the following differential equation be given: x2 - 3y' = 0 what's the solution for function y(x)…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.