Identify the Cauchy-Euler equation. O g- 52* + 8y = 0 dz4 22 y" – 7xy' + 6y = 0 O 2y" + 2a?y" – y' + 5y = 0 2x2 dy + 5x- dz2 dy + 3y = 0 dz3 dz

Q: . Find the general solution of the first-order equation y? – 2ry dy dr

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Q: dy 6. dr = (2 +y + 1)2

A: The given problem is to solve the given ordinary differential equation, we can solve by using…

Q: 3. Show that y = 5x2 +2 is a solution to the DE ry' +y" = 2y.

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Q: Solve the given equation.. (3x² + y)dx + (x²y-x)dy=0 a. b. C. ²- +3x=C x²y²+x²y + x4 = C x² - + x =…

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Q: Which of the following is the solution to the equation shown below in terms of the constants a, b,…

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Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

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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.