Verify that yp, =3e²x and yp₂ = x² + 3x are, respectively, particular solutions of y" - 6y' + 5y = -9e²x and y" - 6y' + 5y = 5x² + 3x - 16. Use part (a) to find particular solutions of y" - 6y' + 5y = 5x² + 3x - 16 - 9e²x and y" - 6y' + 5y = -10x² - 6x +32 + e²x.

Q: 6. Solve for x, XE C: a) x³-7x+6=0 b) 2x³ + x²-8x-4 = 0 c) 9z³-4z=0

A: As per the guidelines of bartleby First three question from multiple Parts is answered at a time,…

Q: 8) Multiply: (2a-3)(5a + 1) a. 10a²-3 d. 10a²13a-3 b. 7a²-2 e. 10a²-6a-3 c. 7a²-5a-2

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Q: (15) Verify that is a particular solution of Show all work to receive full credit. Yp=-4x² y" - 3y'…

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Q: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

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Q: The number of non-negative integer solutions to the equation Y₁ + x3 + x4 + x5 + x6 = 7 is C(7+5-1,…

A: The given problem is to find the number of non negative integer solutions for the given equation by…

Q: √(x² + (y—a)²) = b (y + a) 2

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Q: 5. Use the method of undetermined coefficients to solve (a) y" +2y' + y = x²e¬ª.

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Q: Find the solution of 4x²y" - 6x²y + y = 0, x > 0 of the form Y₁ = x¹(1+₁x + €₂x² + 3x³ + ...) Enter…

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Q: The solution to (2x+5)= -(x+2) lies on which interva а. [-12,-8] 2. 15 b. [-9,-4] c. [-3,-1] С. d.…

A: Given  115 (2x+5) = 19 (x+2)⇒ 93 (2x+5) = 155 (x+2)⇒ 3 (2x+5) = 5 (x+2)

Q: 6. Simplify. a) (2x - 3x2- 6) + (6x – x³ + 4x² + 5) b) (x² – 4)(2x² + 5x - 2) c) -7x(x² + x - 1) –…

A: Given that -

Q: Find two linearly independent solutions of 2x²y" - xy + (-4x + 1)y=0, x > 0 of the form y₁ = x¹(1+…

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Q: y₁=1+a3x³ + arº +... Y₂ = x + b₁x¹ + b₁x² + ... Enter the first few coefficients: a3 = a6 = b₁ b7 )…

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Q: Find numbers a and b such that ax + by =(9, -1, 10), where x =(3, -1, 0) and y =(0, 1, 5). Is there…

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Q: Given that z²z+1=0, show that 2019 = -1.

A: Given that  z2 - z + 1 = 0 We are to show that z2019 = -1