You are given the differential equation 6y" – 6y' – 5y = 0. a) Form and solve the auxiliary equation for this differential equation and enter the solutions A1 and d2 of the auxiliary equation in the boxes below. CASE 1: If the solutions are real and distinct, enter the greatest solution as A1. CASE 2: If the solutions are repeated, enter the same values for A1 and A2. CASE 3: If the solutions are complex, enter the solution a + Bi for A1 and a – Bi for A2 . Enter your answers to 3 d.p. A2 =

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

A:

Q: e general solution of the differential equation y(4) — 4y" = t² + et.

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Q: 2 dy + ydx = 4xdx

A:

Q: Зх + 1 = 4 – ex 2 – 4x

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Q: (G-) Simplify tan to a single trig function using the sum or difference of angles identity.

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Q: V1- y?dx + V1- x²dy = 0

A: Proceed as shown below

Q: The differential equation that represent the following syster 1 -1 x, is 2 3

A: The given system is, This system can be written as, On differentiating equation (2).

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

A:

Q: Find the general solution. Do not leave your answer with complex exponentials. x" +4x' +5x=0

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

A:

Q: For the differential equation below, write in standard form, and name the type of equation. Then…

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Solve the given equation over the real numbers. Use exact values. n^−2−8n^−1+12=0

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Q: For the differential equations below, write in standard form, and name the type of equation. Then…

A:

Q: Solve the equation

A: To solve the equation 2x2+15-2=0

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Q: 3. (ey + 1)²e-dx + (ex + 1)³e¯*dy = 0

A:

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: For the differential equations below, write in standard form, and name the type of equation. Then…

A: (a) Given differential equation x2y'+2xy=5y3 Divide both sides by x2 x2y'x2+2xyx2=5y3x2y'+2xy=5x2y3…

Q: adв + Bda + ap(3da + ав) %3D 0

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.