6. Find the general solution of (x + 2y - 1) dx + (x +2y +5) dy = 0 х +у - 6 In(7 -х - 2у) 3 x - y + 6 In(7 - x - 2y) A. C. x - y - 6 In(7 - x 2y) x + y + 6 In(7 - x - 2y) = D. В. = C

Q: 11. What is the general solution of (2a-y)dx + (4x +y-6)dy 0 (a + y- 3) = c(2a+y-4)2 (x - y + 3) =…

A: Given differential equation is                                           (2x-y)dx+(4x+y-6)dy=0 let…

Q: 3. Find the general solution for y" – 10y' + 25y = 0 s.t y(0) = 1, y(1) = 0

A:

Q: Find the general solution: x(x^3-xy^2+2y^3 )dy-y(x^3+2y^3 )dx=0 O A. xy^2 In [y+x^3-y^3=cxy^2 )] B.…

A:

Q: 12. A particular solution of y"– 2y'-8y = (x2+2)e-2 +4xe4z will have the form %3D = (Cx² + Dx +…

A:

Q: 1. Find the general solution of * y (x² v (x² + y² ) dx + x (3x² – 5y² ) dy = 0

A: Given differential equation, yx2+y2dx+x3x2-5y2dy=0 To find the general solution of the differential…

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.)…

A:

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

A:

Q: 1. Solve ,analytically. the Following differencetegs y(k)+ y(k=)-니3 Ck-2)-4y(e-3).=u(k).…

A: (a) Take the Z-transform on both sides of equation.

Q: 6. Solve the initial value problem (2y3 – x³)dx + 3xy?dy = 0, y(1) = 1 a. 5y3x? = x5 + 4 c. 5y3x? =…

A:

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: (x-2)²(x³-4) y = Vx2+1 dy If then equals to : dx O y [2/(x-2)+(3x^2)/(x^3-4)-2x/(3x^2+3)] O…

A: The formulas which are used to solve the above problem are stated with the solution.

Q: Find the general solution of y""- 6y"+21y'- 26y=0 3x A y=c,e"+c,e cos 2x +c,e"sin 2x 2x В…

A:

Q: The general solution of xy" - xy' + (24x* – 24 y = 0, is .a - C,xY,(2 /6x) b O C,xJ,(2 6x) +…

A: We have to find the general solution of the differential equation…

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)…

A:

Q: 2. The particular solution of xyy' = (x² + y²) when x = 1, y = 2 is a. y? = x² ln x2 + 4x² b. y? = x…

A:

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

A:

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

A:

Q: 2 4. Find the general solution of (x + y') dx = А. -3x3 + 2y) %3D Сх В. 7x3 + 2y %3D Сх Зху" dy С.…

A:

Q: A general solution of the separable DE. y'=. =y+1 y + 1 O inly + 1 = ²2 +C Oy²+2y=x²+C 0y² + y = x²…

A: To solve the given differential equations.

Q: y = 0, is: %3D The general solution of y +xy +9x-4 Oa C,(3x) + C,Y,(3x) Ob C,XJ,(3x) +C,xJ_2(3x) Oc…

A:

Q: 11. Find the general solution of (x – 2y)dx – (2x + 5y)dy = 0. | x2 a. 쭉-2y + 5y2 =C b. x2 – 4y + y2…

A:

Q: Solve the initial-value problem (3x +9xy + 5y²)dx-(6x² +4xy)dy = 0 y(2) = -6 %3D

A:

Q: Find the general solution of Зx(у - 4) x2 + 3 1+ (x² + 3)3 1- (x² + 3)3 a) Oy = 2 + 2C(x2 + 3)6 b)…

A:

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

A:

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: Find the general solution of y'"''- 6y'"+2ly'– 26y=0 A y=c,e-+cze* cos 2x + c,e*sin 2r ® y=c,e+c,e…

A:

Q: 8. Find the general solution: x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0 a. xv² In v + x3 – v3 = cxv²…

A:

Q: The particular solution of y(x+y) dx + (x + 2y − 1) dy=0; y(0) = 2 by NEDE is A B C D x(x+y=1)=4e-x…

A:

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)=…

A:

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: 1. The complementary equation to dt² + dy + 4y = 5e-³t is:

A: Solution is here

Q: Solve the Cauchy euler equation d²y + 6x 2-6y = 3 + Inx3 dx x3 d3y 3x2 dx2 dy dx3

A:

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.…

A:

Q: Find the general solution of xy' (2y – 1) = y(1 – x) a. In(xy) = 2(x – y) + c c. In(xy) = 2y – x + c…

A:

Q: Determine the solution of (2x - 3y + 2)dx + (2x - 3y + 1)dy = 0. a. 10x + 10y + ln(10x - 15y + 8)2…

A: Simply put z= 2x-3y and solve .

Q: 4. Find the general solution of (x3 + y³) dx = 3xy² dy = Cx = Cx А. -Зx3 + 2yз В. 7x3 + 2у3 С. -бх3…

A:

Q: 17. The general solution of the equation (x³ + 3xy²)dx + (3x²y+y³)dy = 0 is A. (x4 + 6x²y² + y4) = C…

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Q: Solve the Cauchy euler equation dy 3x2 d²y + 6x -6y 3+ Inx3 dy dx3 dx2 dx

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Q: The particular solution of (2x+3)y'=y+ (2x+3) ¹/2 ; y ( − 1) = 0 using LDE is A B C D -2y=√√2x +3 In…

A: Please see the below picture for detailed solution.

Q: 2. Find the general solution of d³y dy dy 6- dr3 + 12 dx2 dx 8y = 21e2 -

A: To find- Find the general solution of  d3ydx3 - 6d2ydx2 + 12dydx - 8y = 21e2x

Q: 2 The general solution of y +xy+ 9x* - 4 y = 0 is: O a C,J,(3x) + C, Y,(3x) Ob. C,xJ,(3x) +…

A:

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: Find the general solution of (x+2y – 1) dx + (x + 2y + 5) dy = 0 x - y + 6 In(7 – x – 2y) А. = C x +…

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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 +…

A: