Find the general solution of (x³ + xy2 + y)dy + (x²y + y³ + x)dx = 0 %3D xy + In(x² + y²) = c 2xy + 2ln(x² + y²) = C %3D Option 1 Option 2 2xy + In(x² + y²) = C %3D Option 3 None of the above

Q: 2 2. Find the general solution of x(y + 1) dx + y´(x y? + 2x – 1) dy = 0 2x x2 + y? x2 А. 2ln[(y +…

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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: 2x 3x The DE whose general solution is given by y = x²+c,e*+C2e is © y" - 5y' + 6y = 6x2 – 10x +2. |…

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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: 6. What is the general solution of * (x2 + 2xy – 4 y)dx – (x? – 8xy – 4y²)dy= 0 x2 – 4y? = c(x – y)…

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

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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: Q4: Find the general solution of 1-st order Linear D.E (x2 + 9) 2 + xy = 0

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

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Q: 3. For the given DE: 2ху y' y2 – x2 3a. Find its degree of homogeneity. (2 pts) А. 1 В. 2 D. 4 С.3…

A: we have :y1=2xyy2-x2⇒dydx= 2xyy2-x2---(1)aDegree of homogeneous is:1b let y=vxdydx=v+dvdxHence…

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

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Q: Find the general solution of (x + y – 1)dx + (2x + 2y + 1)dy = 0. a. x + 2(x + y) + 3 In(x + y + 1)…

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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: 12. If R(x) = e'V(x) then particular solution is

A: To  find  →  1f(D)  ex  V(x)              is particular integralSolution               Let  ,   w is…

Q: 3. PDE r + a²t = 0, has the solution : (a) z = ₁ (y + iay) + 0₂ (y - iay) (b) ₁(y + iax) = z (c) _z…

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Q: 8. Solve the general solution of y(x² – y²)dx + x(x² + y²)dy = 0 A. 2x² In(xy) + y² = Cx² B. 2x²…

A: Differntial eqaution

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

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

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Q: (With Solution) The particular solution of x dy - y dx - (1 - x²)dx = 0 when x = 1, y = 3 is a. y +…

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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: the general solution to Xy" +3xy' +y = 0 is: x>0 Select one: а. y = x-1(Acos(2Inx) + Bsin(2Inx)) b.…

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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: Appropriate form of particular solution of y(4) – y(3) = e3x +x is %3D (a) yp = Ae3x + Bx* + Cx³ +…

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Q: solution of the di dy x + 4y = * x2

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Q: 9. Find the general solution of y(2x + y²)dx + x(y² – x)dy = 0

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

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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 B C D x(x+y=1)=4e-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 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: 3. (a) Showing the details, find all solutions or indicate that no solution exists for 5x – 3y + z =…

A: Detailed solution to the question is given below.

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

A: Answer is option D)

Q: 2x4 + 3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x)? C(2x- 4) +D E(2x…

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Q: given: v=(3t - x)e-2t 1. find (d2v)/(dt2) 2. find (d2v)/(dtdx) complete solution

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Q: A particular solution of y -2y + y e':

A: Given differential equation:     y'' - 2y' +y = et We use method of undetermined coefficient to…

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…

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Q: Find the general solution of the given ODE. * (x+y-1)dx - (x + y)dy = 0 x+y+ ln |2x + 2y - 1|= C…

A: The given ODE:x+y-1dx-x+ydy=0.We need to solve the above ODE.

Q: Find the general solution of xy²y' = x²y-y³. x2 y² = (C+ 2ln(x)) Oa. O b. 2x2 (C+2ln(x)) Oc2=x²+ x2…

A: We need to find the general solution of given differential equations.

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 x2 (y + 1) dx + y?(x- 1) dy = 0 x2 - y2 + 2x - 2y + A. 2ln[(y +…

A: Given that: x2(y+1)dx+y2(x-1)dy=0

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) +…

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Q: 1. Find the solution of xy' + 2y = x² – x + 3 with y(1) = 0. 2. Find the general solution of y' =…

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Q: 4x 3z + y + 2z %3D 5x + 5y + 10z = 1 O has 0 solutions O has exactly 1 solution

A: We are asked to find the solution of the system.

Q: Inly-4)x-4CGive the general solution y'=xln/x – 4| du dx x-4 du=tdy sdv=Sxdx dr V= X-니 uv-Svdu…

A: Given differential equation is : y'=xlnx-4 To find the general solution of given differential…

Q: Appropriate form of particular solution of y4) – y(3) = e3x + x is (a) y, = Ae3x + Bx* + Cx3 + Dx? +…

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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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