Solve the equation 3x(xy – 2)dx + (x³ + 2y)dy = 0 ƏM = 3x2 ду Ne 3x2 Sol/ əx f(x, y) = (3x²y – 6x)dx + T(y) = x³y – 3x2 + y² + C = 0 (The general Solution Not Correct Corect

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xydx - (x + 2)dy = 0

A: Given problem:- Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.   xydx -…

Q: Solve using crama's rule: 2x - 2y + 3z = 13 5x - y + 4z = 11 x + 3y - z = -10

A: We solve the system using Cramer rules

Q: Obtain the general solution valid near the origin: х(х-2)y1+2(х-1)у - 2у %3D0

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Q: a) Solve y' = 3x² + y, y(0) = 4 by choosing step length 0.1 for y(0.2) by Euler's improved method

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Q: x(x – 2)y" + 2(x – 1)y' – 2y = 0

A: Solution: x(x-2)y"+2(x-1)y'-2y=0 Solve using the series method: A linear homogeneous ODE with…

Q: Use variation of parameters to find a general solution: y(3) – 4y = et.

A: Given differential equation: y3-4y'=et         ...(1)

Q: Obtain the general solution valid near the origin: x(x − 2)y" + 2(x − 1)y' − 2y = 0

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Q: Solve by Graphical Method Max z=2x+4y Subjected to 3x+4y0

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Q: solve for orthogonal trajectories y^2=4x^2(1-kx

A: For finding orthogonal Trajectories :step 1 : Let f(x,y,c)=0 be the equation of the given family of…

Q: 3. Obtain two linearly independent solutions valid near the origin: 3xy" +(2-x)y' - 2y = 0

A: As per the question we are given the following second order ODE : 3xy’’ + (2-x)y’ - 2y = 0 And we…

Q: Find a general solution valid near the origin: (x²+4)y" + 2xy' - 12y = 0

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Q: x(1-х)у" - Зу' + 2у %3D0

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Q: Obtain general solution of y' = y + y^3.

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Q: (Dª + D² + 10D)y= 0 , y(0) = 0, y'(0) = 6, y" (0) = 4, y"(0) = 4

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Q: Find the general solution for the homogenous equation of y′′ − y′ − y = 0.

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Q: 8. Find the general solution of (x2 + y2 + 1) dx + (x2 – 2xy) dy = А. х2 - у? - ху — 1%3D Сх В. х2 +…

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Q: use Separation of Variables to find the general solution. yy' = x

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Q: Obtain 2 linearly independent solutions valid near the origin for x>0 2хy" + 5(1 — 2х)у' — 5у %3D 0.…

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Q: use the two phase method to solve the lp MAX -  4x1  +  x2 - 2x3 st --    2x1 + 2x2 + x3 = 4 x 1+…

A: We can solve this using two phase method

Q: By using linear method, solve dy %3D

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Q: 2 xy' + 3y = 3 –

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Q: . Find the general solution of (³ + 2y*)y' = 3ya² in implicit form f(x,y) = c. When y(0) = 1, what…

A: We have given differential equation  x3+2y4y'=3yx2…

Q: y" -4y' + 13y :

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Q: Solve for Gaussian Elimination with Back Substitution. 2x+y+8z=-1 x-y+z=-2 3x-2y-2z=2

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Q: Use variation of parameters to find a particular solution of 14aie" 3 y" – 2y' + y - Yp(x)

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Q: 4. Solve eu, - uu, = 0, u(0, y) = -y %3D for small |r.

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Q: Use Variation of Parameters to obtain the General Solution 1. y +4y 4-sx2x

A: Solve the given problem.

Q: Solve the initival value problem: y = 2(5 + 9x)(1 + y²), y(0) : V3 1

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Q: 2. (D² - 3D + 2)y=1+x

A: The given differential equation is;  (D2-3D+2)y=1/(1+e-x).

Q: What is the general solution of xy(xy5 −1)dx + x²(1 + xy5) dy=0 ? A 2x³y³-3x²= Cx² B 2x³y5-3x²=Cy²…

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Q: Find general solution to Cauchy-Euler equation: (t^2)y''-2ty'-3y=t^2

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Q: Find the general solution and the particular equation of the Equation Linear 2ª order given the…

A: We have to be find solution

Q: Solve the particular solution (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

A: We find the particular solution of  (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

Q: 3. Obtain the general solution of: (x – y)(4x + y) dx + x(5x – y) dy = 0

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Q: 5. Use variation of parameters method to solve а. a. y" – 2y' + y = 1+x2

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Q: Find the solution of y-x =0 using separable variable method. dx

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Q: 3. Find the general solution using the method of Variation of Parameters. y" + y = = sect

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Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Given y'+yx=x-3   if y0=2 To find the general solution

Q: 2. x (х — 2)у" + 2(х — 1)у' — 2у %3D 0 |

A: Power series solution of the differential equation

Q: y +y² – 1 = 0, Yı = 1

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Q: The task is to identify the solution of the given system linear Ordinary Differential Equations. Use…

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Q: solve the for the general solution of the differential equation( linear homologous equation): (4D4 -…

A: Solving the equation With the aid synthetic division, it is easily seen that the auxiliary equation

Q: Solve by homogeneous equations method (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: Solve (x² - 4xy-2y²) dx + (y² - 4xy - 2x²)dy = 0 By using the method of the exact equations 1-…

A: The given problem is to solve the given differential equation by using the method of the exact…

Q: Obtain the general solution valid near the origin: x(х — 2)у" + 2 (х — 1)у' — 2у 3D0

A: The differential equation has singularity at the origin. So we find the solution by Frobienius…

Q: Find general solution of DE by both methods (independent variable missing and dependent variable…

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

Q: What is the general solution of xy(xy³ −1)dx + x²(1+xy5)dy=0? (A) 2x5y³-3x²= Cx² B 2x³y5-3x2= Cy²…

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Q: Find the general solution of the lines 3y (즉 + 2-2)dx + (2x- 3 +1 )dy = 0 - 2 )dx + ( 2x - +1 )dy =…

A: x2+3y4-2dx+2x-y2+1dy=0To Find: The general solution of the lines.

Q: Use variation of parameters to obtain the general solution. y''+4y = 4 sec2x

A: The given differential equation is; y"+4y=4sec2x.