Find the general solution by substitution or elimination Q6 A: = x -2 y +t di =x- y +2t *= -y + 3e^-t x(0) = -1 2х + 3у y(0) = 1 %3D dt B:

Q: х2 — бх + 9 dx Убх — х2

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Q: 17x-6 - dx x² -x² - 6x 2.

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Q: (x² - 12x + 9) dx (x²-3x + 2)²

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Q: 7. v₁ = (0, 0, 1), V2 (0, 0, 1), V₂ = (7, 4, 11), V3 = (5, 3, 13) 8. V₁ = V1 (2, 0, 0, 0), v₂ = (0,…

A:

Q: y = 2x – 6x + 10 — у" — ху" — 2y' %3D — 24х?

A: Given: y=2x3-6x+10

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Q: x2 - 4 3 dx

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Q: 8. (D2- 2D+ 1)y = xlnx

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Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

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Q: 2. у -х3 -Зx? - 2 atx3D1 at x = 1

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Q: x²+2x - 1 dx 2x3 + 3x2 - 2x

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Q: (5, 2)

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Q: Determine the solution of the following differential equations: D8-6D6 + 2D5 + 11D4-10D³ - 14D²+ 8D…

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Q: let y = -3 x¹-2x, find y' -12 x4-2 -12 x³ -2 Onone of these answers O-4x³ - 2

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Q: find (x²-y) dx + y²dy=

A: Introduction: One example of the form is a first-order homogeneous linear 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.