Check all of the equations below that are exact differential equations. y + 2yx y = 0 2xy + 2xy? y = 0 O e-* sin(y) e- cos(y)y = 0 - e

Q: Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| –…

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Q: Q1. Solve the following dy (a). y² + xy³ + (5y² – xy+ y³ sin y) = 0. dx

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Q: Find the the general solution of the differential equation (D² + 25)y= csc x sinæ + sin 5x cos 3x…

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Q: 2yy" = 1 + (y')² 2

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Q: The complementary function (C.F.) of the differential equation:(D² +3?)y=cos lz s. O ge* + cz sin 3z…

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Q: Solve the following differential equation with Bernoulli differential equation…

A: (-x2-y2-x)dx+(-xy)dy=0 Above ODE can be written as  dydx=(-x2-y2-x)(xy)y'=(-x2-y2-x)(xy)

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

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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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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.