What is the solution of 3a? + 6xy? + (6x²y + 4y²) y' 3a +9xy + 2y3 = C O 43 + 16a?y? + 3y3 = C %3D O 3a? + 12a°y? + 2y3 = C 3a +9a2y2 + 4y3 = C

Q: 5 3X (e ³x + 4√x) dx

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Q: Show your solution: Given: y'' + 3xy' + 7y = 0 Question:Which of the following is the expression…

A: The given problem is to find the recurrence relation for a2k+1 in terms of a1 for the given…

Q: = = xo 8, yo -1 y zo = 6 Xn+1 = xn +2yn Yn+1 = 2xn + yn Zn+1 = yn+2Zn

A: The objective of the question is to find the values of Xn+1, Yn+1, and Zn+1 using the given…

Q: 2 2 +50 +4) у CD4+. S о

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Q: Q4: Use undetermined coefficient annihilator approach to solve. y"" – 5y" + 6y' = 10x² – 5x – 6 +…

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Q: SOLVE THE EQUATION. SHOW YOUR COMPLETE ANDCLEAN SOLUTION. (x – 2y + 5) dx - [2 (x – 2y) + 9] dy = 0…

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Q: The initial concentration of phosphorous (C) in a waste water pond is 107 ppm, as against the…

A: (ii) Consider dCdt+0.06C=0⇒dCC=-0.06 dtIntegrating both sides we get⇒∫dCC=-0.06 ∫dt⇒log…

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

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Q: 4. Find the general solution of (x³ + y³) dx = 3xy? dy A. -3x3 + 2y3 Cx B. 7x3 + 2y3 = Cx C. -6x3 -…

A: According to question, Given differential equation, x3 + y3 dx = 3xy2 dy

Q: need answer asap thanks

A: Solve the following

Q: - 9x²y² = 3x²(1 – 3y²) + 3y dx3

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Q: Let (xp, y,) be the solution of the following equations In 2 (2x)™² = (3y)n3 3Inx = 2lny %3D Then xo

A: Given equations are 2xln2=3yln33lnx=2lny

Q: The general solution of (D-4D)y-0 is (A y=c+ cx + Cze tk ® y-(c, + cx)e* +c3e* © y-c+ cx +Cye" -4x D…

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Q: f 6y = 7 – 2x, then what does x equal? AO 3y + 7/2 Зу + 7/2 BO (6y + 7)/2 CO 7- 6y DO (7 - 6y)/2

A: The given equation,        6y=7-2x

Q: Show your solution: Given: y'' + 3xy' + 7y = 0 Question: Which of the following is the expression…

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Q: The solution of the PDE uxy = 6x² + y is %3D

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Q: DETERMINE SOLUTION OF 1 x dy dx + y = x² + x (2x+3y-13) dx + 3x - 2y) dy = 0 DE

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Q: The general solution of the s.o.d.e y"-4y'+13=O is

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Q: Show that y %3D Cіx-1 + С2х + Cзlnx + 4x2 is a solution to x3y" + 2х?у" — ху' + у %3D 12х?.

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Q: Example 31.7. Solve y,. 2-4yn 3y, 5

A: Given,           yn+2-4yn+1+3yn=5n

Q: (1+ ye* + xye")dx + (xeª +2)dy = 0 C = xye + 2y + x C = xye" + 2y – x O Option 3 Option 2 C = xye –…

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Q: Evaluate the integral. x² - 81 | V=² x x² - 81 | Vx² x √x². 81 X √x². 81 X x² - 81 X 1² 1² - dx = -…

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Q: Solve the following DE: (1+ y² + xy²) dx + (x²y + y + 2xy) dy=0 O2y²+x²(1+x)²=C O 2y²+x²(y + x)² =c…

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Q: What is the sum of 7x*+2xy-5y and 2x+3xy+2y7 14x +6x3y2-10y 14x +6xy-10y 9x8+5x3y2-3y 9x*+5xy-3y3

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Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: If y = e3x+18 then dx O 4e3x+18 O 3e3x+18 O 54e3x+18 O 18e3¤+18 O 2e3x+18

A: Given that: y = e3x+18

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: VI. Partial Fractions 24 – 52° + 6z? – 18 dz g8 – 322 1.

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Q: 1 2. S- 9y²+64 dy

A: Given: The integral is ∫19y2+64dy. Evaluate the integral.

Q: 7. Find the solution of the differential equation (D' + 5D + 6)y = 0 + Cze* D. y = C;e-3x + Cze-* A.…

A: Given that differential equation  we have to find the solution of  that differential equation

Q: (D* – 4D³ +14D² – 20D +9)y = 0 - -

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Q: y²dx + x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) © xy²=c(2xy) C D x+y²=c(2xy)

A: Given differential equation  y2 dx +xx+y dy=0

Q: x + 1) ² − 4(x + 1) dx + 4y = 0. Given that y₁ = ²x is a solution; find the general solution. dy dx²…

A: Solution to the differential equation