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: Q9\ Solve the equation z +j2z+(1– j) = 0. Express the answer in exponential and Cartesian forms.

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Q: Solve the general solution of the following: A. (4D^5 - 8D^4 - 17D^3 + 12D^2 + 9D)y = | I

A: As per guidelines we can solve maximum 1 question at a time. Please repost the other question and…

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A: z3=27i

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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: Solve the equation. (*+ 12/5 - 30x + 1)'/5+2=0

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Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 are equal, show that 2/b = 1/a + 1/c.

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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

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Q: How to solve this equation y''' - 8y" + 4y' +48= 4x2+1 using Method of Undetermined Coefficient.

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

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Q: 1. y-14y- 48y = 0 2. y'-12y + 27y = 0

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Q: +y = e=* sin x

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Q: if it exact find the general solution of the given equation

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

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Q: 5. Complete the steps to show how to solve x? = 36. %3D

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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.