21. The complementary solution, ye, of the equation y" + 2y" + y = 10 is (a) Ye= C₁e + C₂e + C3 (b) Ye=c₁e²+ C₂xе² + €3 (c) Ye= C₁e + c₂e² + c3 (d) Ye=c₁e + c₂xе-² + c3

Q: In (Z,5, Đ) solve the equation 30XÐ7 = 2 for x.

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Q: Solve the Cauchy euler equation d³y x3 dx3 3x2 d?y dx2 2 + 6x -6y = 3 + Inx³ dy dx

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Q: Solve the given equation.. (3x²y + 2xy+y³)dx + (x² + y²)dy=0

A:

Q: 18). Two drugs are injected into a patient. The quantity of the first drug, A, still left in the…

A: Amount of drug A still left in the body is given by  A=70-5t Also amount of drug B still left in the…

Q: 12. Exact equations: Solve: 3xy²dx + (3x²y + 4y²) dy = 0 O ry + y* = c O r?y² + y* = c

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Q: solve 35. (2x + 3y)? 36. (r - 2s)? 37. (x + 6)(x – 6) 38. (5 – y)(5 + y)

A: Dear student, since you have posted multiple questions, as per our policy we will answer first…

Q: 7. Write the given equation below in standard form. x2 +y +12x – 16y = -64 O (z + 6)² + (y + 8)² =…

A: To make in standard form we make perfect square in x and in y by adding or subtracting some Value

Q: Which equation passes through the points (−2,−1)(−2,−1) and (0,5)(0,5)?     1. y=−1 over 3x+5   2.…

A: The given points are (−2,−1) and (0,5) If an equation passes through these points, then that…

Q: Solve the difference equation: 3 (²7) y[n+ 2] - n> 0 y[0] = 10 and Y y[n + 1] + y[1] = 4 n (1) ₁…

A: Given difference equation is ,      yn+2-32yn+1+12yn = 14n   ;  n≥0     ;  y[0]=10  and  y[1]=4 (.)…

Q: Use the method of undetermined coefficients to find one solution of y" + 4y′ − 4y = (4x² - 9x-4)…

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Q: 202. Solve the equations, given that a and b are not zero. (a) ax? + bx = 0 (b) ax? - ax = 0 %3D

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Q: Solve for A, B, C and D in the equation A B Cx + D %3D x² (x² + 1) x2 +1

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Q: 7. (x − x² - y²)dx + (y + x² + y²)dy = 0. -

A: As students asked to solve only question 7. So we solve only 7th question.    In this question,  we…

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A: The non-trivial solution is any solution except zero solution.

Q: Verify that x = C1et + C2 is a solution to x′′ − x′ = 0.

A: To Verify that x = C1et + C2 is a solution to x′′ − x′ = 0.

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Q: Solve 1 0-²40 = 5 x (0) = - 4, y(0) = 10

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Q: If g(x) = 4x* – 3x² + 2x – 2 , then g) A. 글 -3 В. 2 C. D. 5 2 Е. 3 2

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Q: 4. When the linear equation has no solution.

A: We have to say that when the linear equation has no solution.

Q: 1) Solve the following equation written in the form = G(ax +by). = (2x + y)² + 6(2x + y) + 7

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Q: Solve 6 Only Solve each equation by the method of inspection or any other method.

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Q: (17) Find the solution of the following second-order difference equation: an+2 – 4an+1+ 8an = 0, ao…

A: Difference equation we can easily solve using auxiliary equation.

Q: 2y Solve (3x²+2) dx + (2x - 4y) dy=0 e A B 2 2y x+xe D xe ²y = 2y² = C r3+xe ³y – 2y³ = C 3y © x³ +…

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Q: 1. Find x and y so that (a) x = 4, y = -14 (b) x = 5, y = -5 (c) x = 3, y=-11/3 (d) x = -5, y = -15…

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