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 + 1)/(x - 1)] = C x2 + y? В. Zln[(y + 1)/(x - 1)] = C 2y + 2y + С. Zln[(y + 1)/(x - 1)] = C x2 + y? + 2x 2x + 2y + 2y D. Zln[(y + 1)/(x - 1)] = C

Q: What is the solution to the initial value problem y" – 2y' + 10y = 0, y(0) = 3, y'(0) = 0 ? A) y =…

A: To find The solution to the given initial value problem .

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A: Here in 1. we have to find general solution of given differential equation,        As per our…

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Q: 12. Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

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Q: 4. (15pts) Identify (write down) the type of DE, and find the general solution. (y – 3x)dy = (x +…

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Q: 7. (a) Use the method of variation of parameters to show that the solution of +k²y = o(r) satisfying…

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Q: 8. Solve the given initial value problem. dx = 3x +y- e 3t. x(0) = 2 dt dy = 4x + 3y; dt y(0) = - 5…

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Q: 10.Obtain the general solution of y(8x – 9y)dx + 2x(x – 3y)dy = 0

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Q: Example 2: Find the particular solution of (x – y)dx + (3x+y)dy = 0 when x = 2 & y = -1.

A:

Q: 2.3.4 Find the value of X(0.5) for the initial-value problem dx 4- = x(0) = 1 dt t + x using Euler's…

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Q: 4: A:Find the solution of the initial value problem (d^2 y)/(dx^2 )+5 dy/dx+6y=0□( ) y(0)=2, And…

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A: First order non linear ordinary differential equation.

Q: 3. Find the particular solution of the differen- tial equation: (x² +y² )dy=xydx, given that x=1…

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Q: 1 Obtain a numerical solution of y-1 = using Euler's method with step size equal to (0.02) y and…

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: 1. Show that y = ze* + e-2* is a solution of y' + 2y = 2e*. 3

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Q: 3. Find for the simplified general solution of (1 + x³)dy – x²ydx = 0 a. Iny =In(1 + x³) + C b. Iny…

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Q: +2. =0 by Find the solution of the PDE dx? dy² variable separable method

A: Given problem is :

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Q: Find the particular solution of the system Mentioned in the Attachment.

A: Given :  dx1dt=3x1+x3dx2dt=9x1-x2+2x3dx3dt=-9x1+4x2-x3      x10=0   ,   x20=0    ,   x30=17 To Find…

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Q: 4. (a) dzy Solve: dx2 + ( = 0. (b) Solve xy" + (1 – x)y' – 2(1+x)y = e-*(1 – 6x) by the method based…

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Q: 2) .. Use separation of variables to find the general solution.   dy dt − 12t3e−y = 0.

A: Answer: The solution is as given below:

Q: What is the solution to the initial value problem y" – 2y' + 10y = 0, y(0) = 3, y'(0) = 0 ? %3D A) у…

A: To find the solution to the given initial value problem.

Q: 2. Find the particular solution of Vx2 + y2 )dx – x dy = 0 ; y = 1 when x V3. -

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Q: 2.3.4 Find the value of X(1.1) for the initial-value problem dx dt =-xt, x(1) = 0.1 using Euler's…

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Q: 1. Homogeneous DE: Find the general solution of the DE: ydx + (2x + 3y)dy = 0. 2. Find the general…

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Q: Find an explicit solution of the given initial-value problem. √1-y² dx - √1-x² dy = 0, y(0) = 113 2…

A: Here in this question, we have to find out the solution to the given differential equation.

Q: 3. Find the general solution of y"-3y'+2y=e2* cos x [using variation of parameters]

A: See solution below

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