Solve the differential equation 1. æ°y" – 2x² y" + 6xy' = x(2ln x +1). 3

Q: au au = xt at (x > 0,t > 0) ax u(0, t) = 0 u(x,0) = 0

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Q: Solve the differential equation below, when x = ; y = -4. 2 dy dx 5e cosx. If y(37) = a; find the…

A: I have appended the formula used in the solution part of the question

Q: 1. Solve the differential equation. Explain your steps in detail. dy 5y = e -2x

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Q: 2. [x+y + 1) dx + (2x + 2y - 3) dy = 0, y (8)= -4

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Q: Solve the differential equation by undetermined coefficients y" – y' = -3 а.

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Q: 9. Solve the differential equation dy/dx = 6e(²x - y) when x=0 when y = 0. a. ey=3e2x-3 b.…

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Q: dy tan (x + y) dx

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Q: solve the differential equation. dy/dx = √y cos2 √y

A: It is given that, dydx=ycos2yWe have to solve the differential equation.

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.