In Problems 1-8 state the order of the given ordinary differ- ential equation. Determine whether the equation is linear or nonlinear by matching it with (6). 1. (1 - x)y" – 4xy'+ 5y = cos x d³y 2. x dx, + y = 0 3. fy4) – Py" + 6y = 0 d'u 4. dr du + u = cos(r + u) dr d'y 5. dx2 dy 1+ d²R 6. dr? k R? 7. (sin 0)y" - (cos 0)y' = 2 i-(1-). i +x = 0

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Q: ,3 хуз 1. у' 3 V1+x2

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Q: 2.The equation of C3 can be expressed as z=p+qi+ce^iθ, where θ varies from mπ to nπ. What is the…

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Q: 5. Exact Difle rential Equation: 3ry -4y' +6dr + (r° – 6x°y² - 1kty =0

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Q: Find the derivative of 4x - 9y = 17 9x y' = 4y -4x y' = 9y 9x 4y 4x 9y

A: Given problem:- Find the derivative of 4x² - 9y² = 17

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Q: 1. (x2 + y² + 1)dx + x(x-2y)dy = 0 (Non-exact Equation) Ans: x² - y² + xy - 1 = cx

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Q: 1. Consider the following equations. (a) Yi = B1 + B2T; + Ej (b) yi = B1 + B2r; + €; (c) ŷ; = ß1 +…

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Q: Problem 4. Find y as a function of x if r'y" – 5zy + 9y = x°, y(1) = -9, y (1) = 4.

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Q: 4. Suppose the following functions are a general solution of: y(4) + azy" + azy" + a13 + a0y = 0…

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Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

A: As you have asked for the solution of question 34 only, so I am solving only that. Thank you.   34.…

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Q: 7. y = tan e³x + etan3x

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Q: 1. Solve the following HLDE - 1. 4y (5) – 4y (4) – 19y'''+ 18y''+ 12y' - 8y=0 -

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Q: If the length of a curve from (0,–3) to (3,3) is given by [ V1+(x² – 1)² dx , which of the following…

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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.