Solve x+ ye dr- xe dy = 0, y(1) = 0 %3D

Q: Solve y'y" = 1.

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Q: Solve the equation dy, 3y + dx +2 = 3x, y(1) = 1.

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Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

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Q: Solve x2y dx=(x3+y3) dy

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Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

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Q: 3x2y' = 5x - 6xy, x=2 when y=1

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Q: 1. Solve the nonlinear equation x - 5 y? dy dx

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Q: Solve (1+x)dy-ydx=0

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Q: x2y dx=(x3+y3)dy

A: Consider the given differential equation, x2ydx=x3+y3dy⇒dydx=x2yx3+y3 This is a homogeneous equation…

Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

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Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: Solve

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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.