dy Q-2. Solve the differential equation by direct method dr 1³ + 9x² + 27x+ 27

Q: Solve the differential equation (6D² +13D+7)y = e¯6x — 11x².

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Q: 2 dy + ydx = 4xdx

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Q: Solve the differential equation in detailed solution

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Q: B)Solve the differential equation x+4y

A: Given differential equation dydx=x5+4yx. The objective is to solve the differential equation.

Q: Solve the differential equation xdy - ydx = 2x³dx. A. y = x² + Cx B. y = x³ + C C. y = x³ + Cx D. y…

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Q: 7. Solve the differential equation: d3x d?x +11 = 3e-2t %3D dt2

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Q: ず-8g+y ガ-8g+y=(x+8x) ex パ+82

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Q: Q2: Solve by Separable Differential Equation. y=xe

A: We need to solve the separablefydx=fxdx differential equation

Q: Solve

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Q: xdy − ydx + x³dx = 0

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Q: dy = e2x-3y, using separable variable method. dx Solve the differential equation

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Q: dy = 7xVy for y + 0

A: The solution is given as

Q: [D³ – D)y = -2(1+x) + 4e* - 6e¬* + 96e3× %3D

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Q: Solve (y³ + 2y² +9y+18) dx = (5x²y² x²y + 17x²) dy

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Q: y(4) 4х + 2хе %3D

A:

Q: ry? V1+ x²

A:

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.