Solve the Af Differential Equations I' city? +xy") dx t Cxy ty+ 2xy) &y ニ0 2.[ 2x + y copCxg] dx + y cosCxy)] dx x coscxy)dy 3. (2x - 3y) dy (2y- 3x )dy Solve using 2 methods 4, (3x²-2y²) y' 2xy ; when x= d, y = - 1 + [ x*+ ] dy =0; when x= 4 y =1 dx 2 + [ q? + (1-xy)?

Q: Find the solution of the given initial value problem in explicit form. () T sin(2x) dx + cos(9y) dy…

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Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

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Q: Determine all solutions. y'= (x-y + 3)²

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Q: 2yy" = 1 + (y')² 2

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Q: 3) y'+ 2xy = 2x3 =D2x' SOLVE

A: Given,y'+2xy=2x3This is the linear differential equation of the…

Q: 5) Solve y) - 3y4+3y" - 3y" +2y' = 0.

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Q: Differentiate. Y(u) = (u-2 + u-3)(u5 - 6u²) Y'(u) = %3D

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Q: The general solution of y' = X У can be written in the form = C

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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.