9 37) Solve the following simultaneous linear D.E. 10 =0 [D - 1 D+9 = 2D + 9]

Q: 2. 21 Зу 6 Solve : =+ x 3y 3 2 -+==0 х у and hence find 'a' for which y = ax - 4

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Q: 4. Express in terms of i (d) V-27 (e) -V-49

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Q: 0) Solve the following PDE: (D³-7DD² - 6D") == 2² + xy² + y²

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Q: 5. The quadratic equation x² + ax+b=0 has two roots a-3 and b-3, where ab 0. What is a + b?

A: For a quadratic equation, ax2+bx+c=0 sum of roots=-ba product of roots=ca

Q: 5 37) [D + 1 LD + 3 Solve the following simultaneous linear D.E. 2D + 11 et +10) = {²} 4D + 111 -2t

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Q: 13 37) Solve the following simultaneous linear D.E. [D - 1 D-21 D-5 2D-7] = (67) 74

A: We have to solve the given simultaneous linear DE.

Q: 28. y" - 2y + y = 4x² - 3 + x ¹e*

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Q: A. Obtained the general solution. E... 10. (D² – 3D + 2)y = 3x²

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Q: 3) x= y +x³ + 3x² – 2x

A: Given differential  equation  is a linear differential equation of the form   dydx+Py=Q   For this…

Q: dy 6. dr = (2 +y + 1)2

A: The given problem is to solve the given ordinary differential equation, we can solve by using…

Q: у (х + у+ 1)dx +x(х+3у+2) dy %3D0

A:

Q: 1 37) Solve the following simultaneous linear D.E. [D + 1 2D + 11 40)=(2²) LD + 5 4D + 11]

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Q: Solve the D. E y-2ý+24 = 2 X +3 2y +2Y

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Q: (17) 글자를 2 = 2 (Ans. 히

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Q: (10) 5(x+3)-(2x+5) = 5x +10 (Ans. 0)

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Q: Solve using Crámer's Rule. X + 2y + = 2 3z = -10 y 2x +2y %3D 3= IL || ||

A: x+2y+z=2 y-3z=-10 2x+2y=0

Q: Solve the following simultaneous linear D.E. 4 [2D [2D+1 D+ D-4 11 {} D+3)=(e) -

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Q: Solve the following a) 2x-1s 13

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (x - 1) If 1 / ² ) = = √ Ada² + √ dx [ B (x − 3)(x + 7) - 3 - then A+B = Bdx x +7'

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Q: Solve for A 10. A= 5-2 1 2

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Q: 5. If X any Y are sets, then X-Y= {r€ X: 1¢Y} If X is open set and Y is closed set. Prove that (a)…

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Q: 2 [2D+5 2D + 31 D-2 ²D + ₂10²) = {²} 2

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Q: Solve the following simultaneous linear D.E. 1 6 [²D+ ₁ D + ¹])} = {e} 7 }{}

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Q: 12. Solve for x. a) 를x-3=x+ 2 b) 쓰= c) (x +1) = (x – 3) x+5 2x-1 3 d) -5(x + 1) – 2(x + 1) = 3(2x –…

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Q: 6.) [D³ + 6D² + 11D +6] (y₂) = 0 7.) [4D³ + 4D² +D] (ro) = 0 8.) [D¹ + 2D³ + 10D²] (y₂) = 0

A: (6)…

Q: Which is a correct solution of y = 4x – 3? O (1, 3) O (1, 2) O (0, 1) O (2, 5)

A: The given equation is y=4x-3

Q: 1 Evaluate Iz|= 12.0 |z| = 12.0 dz (z – 10.0)³(z² + 169)2

A: Introduction: When we study complex integration, Cauchy's integral theorem and Cauchy's integral…