Find the particular solution of (x + y – 3)dx + (x + y + 5) dy = 0 when x = 1, y = 0. %3D a. (x + y + 5)² = 16x + 20 b. (x + y – 3)? = 16x – 20 c. (x + y – 3)3 = 16x + 20 d. (x + y + 5)² = 16x – 20 %3D

Q: Find the general solution of (x + xy²)dx + ye²² dy = 0. O ln(y² + 1) — 4e-2²² = c - O e²+2 ln(y² +…

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

Q: Determine the particular solution. (xy)dy – (3x² + y²)dx = 0; Y(1) = 1 O 3ln(x) + 12 = 1²² 2x² O…

A: Let's solve differential equation.

Q: What is the general solution of xy(xy³ – 1)dx + x²(1+xy)dy=0? A 2x°y³ -3x²= Cx² 4x³y? +3x?= Cy ©…

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Q: What is the general solution of xy(xy³– 1)dx + x²(1+xy)dy=0? A 2x°y³ - 3x2 = Cx? 2x³y5 -3x2 = c ©…

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Q: 2. Find the general solution of x?(y + 1) dx + y² (x – 1) dy = 0 x2 - y? + 2x x2 + y2 - 2x - 2y +…

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Q: Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate sheet of paper.…

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Q: 2. Find the general solution of x*v + 1) dx + y'(x - 1) dy = 0 x2 - y? + 2x - 2y + А. 2ln[(y + 1)/(x…

A: No option is matching the final answer. All the given four options are incorrect. The correct answer…

Q: Get the general solution of the DE (x+2y-4)dx+(2x+y-5)dy=0 a.) (x-y+1)3=C(x-y-3) b.)…

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Q: 2. Find the general solution to d²y dz² dy + 3y = e* dr

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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

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Q: Find the general solution of the D.E (y^2 – 2xy + 6x)dx – (x^2 – 2xy + 2)dy = 0 Show your solutions…

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Q: Show that the solution of the equation d3y/dx3 +3αd2y/dx2 +3α2dy/dx+ α^3 y = 0 is y…

A: According to the given information, First it is required to show the solution of given differential…

Q: Which of the following is the general solution to the DE (2x-y)dx+ (4x +y-6)dy 0? A. (x+2y+1)…

A: We have to solve given differential equation: given DE is(2x-y)dx+(4x+y-6)dy=0 ---(1)we can write…

Q: Obtain general solution of the D.E. y' + (1/3)y = e*yª A 1/y³ = e* (c – 3y) B 1/y³ = e* (c – 3x) с)…

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Q: Find the general solution of (x³ + xy2 + y)dy + (x²y + y³ + x)dx = 0 %3D xy + In(x² + y²) = c 2xy +…

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Q: Find the general solution of x (y + 1) dx + y² (x – 1) dy = 0 х2 - у? + 2х - 2у + C. 2ln[(y + 1)/(x…

A: Given differential equation, x2(y+1)dx+y2(x-1)dy=0 ⇒y2(x-1)dy=-x2(y+1)dx⇒y2y+1dy=-x2x-1dx

Q: Find the general solution of xy³ dx + e²² dy = 0. a. 4-e2x = y²C² b. e* = cy(x + 2)² C. e-x² + y² =…

A: Solve the following

Q: 5. Find the particular solution of (x + y – 3)dx + (x +y + 5) dy = 0 when x = 1, y= 0. a. (x + y +…

A: Simplify the given equation. (x+y-3)dx+(x+y+5)dy=0⇒(x+y+5)dy=-(x+y-3)dx⇒dydx=-(x+y-3)(x+y+5)…

Q: The general solution of (D3+4D)y=0 js A y= e*(c,cos2x+czsin2x) y=c1+c2cos2x+c3sin2x © y= cze*+cze²¾…

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Q: 5. Find the general solution of (x +y +1) dx +(x - 3y - 7) dy = 0 x2 - A. x2 + 3y? + 2xy + 2x - 14y…

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Q: 14. If ey = 3x² and y(1) = 2, then the particular solution y(x) is dx A. y = In x3 + 2 B. y = 2e*3-1…

A: Given,  eydydx= 3x2     and y1 = 2 We have to find the particular solution of yx

Q: Find the general solution of the D.E. (y^2 - 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: Find the particular solution: (1 - xy)dx + [y²+ x°(1- xy) ]dy = 0; when x = 2, y = 1 O A. None of…

A: Please see the answer below.

Q: 10. Find the general solution of (2y) dx + (x – x³y³) dy = 0. C. x2y3 + 2 = Cx³y D. x'y - 2 = Cx³y…

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Q: 9. Find the general solution of (2xy - y+ y) dx + (3x- 4xy + 3x) dy = 0 A. x²y(x - y + 1) = C В. ху…

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Q: 5. Find the general solution of (x + y+ 1) dx + (x – 3y – 7) dy = 0 x? - 3y2 + 2xy + 2x x2 + 3y2 +…

A: To find  The general solution of the given differential equation.

Q: 2. Find the general solution of xv + 1) dx + y(x - 1) dy = 0 2x - 2y + %3D x2 - y2 + 2x - 2y +…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2x + 2xy y + 2x°y C. 1- 2x? = C(1 - y²) 1 - 2x? = C(1 + y²) 3. Find the general solution of dx = A.…

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Q: 4x y + 3y Find the specific solution of y'- given that y(2) = 1. 2 y2-9 a) Oy + 9 ln y = 2a + 3x +…

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Q: Determine the particular solution. (xy)dx + (x² + y2)dy= 0: x = -1, y = 2 O 8 = 2y2(x2 + y?) O8= y…

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Q: The general solution of (y- 1)dx - 2(x+y+1)dy= 0 by CL2V is A (x-2y)= c(y- 1)? B (x+2y)= c(y- 1)2 (x…

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Q: The particular solution of y(x+ y)dx + (x +2y- 1)dy=0; y(0)=2 by NEDE is A y(x+y+1)=2e* B x(x+y-1)=…

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Q: Find the general solution of x'y + 1) dx + y´(x – 1) dy = 0 2y + 2ln[(y + 1)/(x – 1)] = C 2y +…

A: Given differential equation is   x2(y+1)dx+y2(x-1)dy=0

Q: 3. xdy - [5x*(x²+y²) +y]dx= /x²+y² (xdx + ydy)

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Q: What is the solution of (xy? – x) dx + (a²y + y) dy = 0 when x = 0 and y = 3 %3D O (22 - 1) (y² – 1)…

A: Exact differential equations.

Q: The particular solution of x dy - y dx when x = 1, y = 3 is a. y + x2 – 1 = 3x b. y + 2x2 + 1 = 6x –…

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Q: dy - Find the general solution of Y +2 = 3x²y² dx A. 1/(xy) = -3(x³/2) + C B. 1/(xy) = -3(x²/2) + C…

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Q: d®y dæ 3 y (0) y' (0) 1 y" (0) = 0 ||

A: Let us consider the differential equation L[D]y=Q(x) Particular solution for the differential…

Q: Find the general solution of x² (y + 1) dx + y² (x – 1) dy = 0 x² + y? С. 2ln[(y + 1)/(x – 1)] = C…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: 5. Find the general solution of (x + y + 1) dx + (x – 3y - 7) dy = 0 %3D x? - 3y? + 2xy + 2x x? +…

A: To find the general solution of the given differential equation

Q: 20. What is the solution of (2x - y)dx + (4x + y – 6) dy = 0? a. (x+y- 3)° = c(2x + y – 4)² b.…

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Q: Solve the given initial value problem. 4x'y+ y2 2x4 + 3xy dy y(2) = - 1 dx O xty? + xy = 14 O xty? -…

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Q: Solve the initial value problem. 2x²-x dy dx O B. = -x-5 (x + 1)(y + 1)' Begin by separating the…

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Q: 19. The solution to (2x – 4y – 3)dy = (x – 2y)dx is: a. 6y – x? – 4xy + 4y? = c b. 6y +x? - 4xy -…

A: Let x-2y=v  According to guidelines we solve only first question.  So, please again upload 20th…

Q: Obtain general solution of the D.E. y' + (1/3)y = e%y4

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Q: 2. Find the general solution of x*(y + 1) dx + y (x – 1) dy = 0 2y + 2ln[(y + 1)/(x – 1)] = C x² +…

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