If y = f(x) is the solution of (18x?y + 2x)dx + (6x – 108y?)dy = 0, f(0) = -1, then Lütfen birini seçin: O a. f(6) = 4 O b. f(6) = 6 || O c. f(6) = 5 O d. All the previous answers are not correct. O e. f(6) = 7

Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 OA. 4 O B.…

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Q: Evaluate. 5 - 3 (7x + y) dx dy 0 - 4 5 - 3 I (7x+ v) dy dy i (Simplify v

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Q: (D2 + 5D + 4)y = 3-2x, Find Yp O a. 11 O b. 00 8 | O d. 11 8 X 11 X 8 3 OC. 11 X + 3 8 3 O e. none X…

A: SOME TERMS ARE EXPANDED BY USING BINOMIAL EXPANSION WHICH IS AS FOLLOWS-:…

Q: Given 5 O a.) 5 O 5 f(x) dx = 12 and 6 [3f(x)+2g(x)]dx + f(x)dx O O b.) 10 c.) 40 5 d.) 32 = 12 and…

A: I am attaching image so that you understand each and every step.

Q: b=? The following equation is exact if (bxy²+4)dy=(7x-4y³) dx O 12 O-12 04 O None of the others -4

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Q: Solve (2y+5)dx = 6dy O a. y 3ln(2x +5)+ c O b. x 12ln(2y +5) + c Ocx=3In(2y+5)+c O d. x == 21 In(2y…

A: The given differential equation is 2y+5 dx=6 dy. Solve the given differential equation as follows.…

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Q: d²y -4 If x? + y? = 4 then show that dx?

A: By simply differentiate  with respect to x to find d^2y/dx^2

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

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Q: -1 dr =? x2 + 4x + 5 O A 3T 2 D. 37 4. B.

A: Solving the improper integral we have

Q: 1 1+x2 (y + 2x)¯i dy dæl 0 0

A: Double integral

Q: 2) Find PF if RP = 14 E R (P F G

A: To find- Value of PF.

Q: (D² + 5D + 4)y = 3-2x, Find Yp O a. 11 8 O b. O C 1 11 O d. 11 8 11 8 3 8 + X 3 e none I + X 3 X X 3

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Q: Solve for the value of C in the equation: (3xy2 + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 O A. 4 B.…

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Q: d² y If ax? dx? 3. Find + 2 hxy + by = 1, h? - ab Ans. (hx + by)

A: So in this we have to differentiate twice. I'm providing hand written solution.

Q: B D E 2x None 2 A √ N dx is equal to

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Q: -5dx 8. Evaluate. (c + 0) cx+d

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Q: x3 dx= 9- x2 a. None of the other answers are correct. b. 3 9 – x² - 27- /9– x² +C 3 3 27 (x 4 +C 3…

A: To evaluate the integral: ∫x39-x2dx Solution: Let t=9-x2. Differentiating both sides, we get…

Q: 5- A. 3. C. +X+ P 上一站 -- V -4x 一 --年 -c + c -c

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first…

Q: the Pollowing D.E So Ve 3メ 12 X +3 =e |

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Q: Solve the D.E. 3(3x +y) dx - 2xy dy = 0 A x- c(9x² +y°) B) x- c(x² + 9y³) © x- c(9x² +y°) D x- c(x²…

A: Given Equation: 3(3x2+y2)dx-2xydy=0 ⇒3(3x2+y2)dx=2xydy ⇒dydx=3(3x2+y2)2xy------(i)

Q: 2х + 3 dx Vx + 2 J 3 4 Answer: (x + 2)7 – 2(x + 2)7 + C

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Q: 3. If c (5x+ 2) = dx - 3 then the solution for x in terms of c and d is 3+2c (1) Sc -d 2cd (3) 5c-3…

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Q: 2 dx 2-x

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Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0

Q: E A

A: Topic = Geometry

Q: 2. Find a general expression for y given that dy 9x-2 = dx 3√x

A: Given: dydx=9x-23x

Q: (D2 + 5D + 4)y = 3 - 2x, Find Yp O a. 11 8 O b. O C. O d. 11 8 11 8 11 X 8 3 + X O e. none 3 + X 3 X…

A: Given , (D²+5D+4)y= 3-2x So, yp=1/(D²+5D+4) {3-2x}

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.