(b) Find the general solution of (y* + 2y)dx + (xy³ + 2y* – 4x)dy = 0 %3D

Q: b) Use the initial condition y(0)= 2.14 to find the particular solution of dy -2y + x2 + 2x = 0 dx…

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

A: First we find tha integrating factor of given differential eq then we get exact differential eq.So,…

Q: Find the particular solution for initial value problem.

A: dydx=8x3-3x2+7x having initial value y3=0

Q: Find the solution to the initial value problems using integration. dH/dx=3x, H(0)=1…

A: Consider first problem:

Q: 3. Find the solution of the given initial value problem. d'y 3dy dx +2y = 2x, y(0) =y'(0)= %3D dx…

A: if we do the part A then part B will also be completed, as we need solution in part A which we can…

Q: 2. Identify the 3rd order nonlinear DE. 3 (dy` A. ( +x³y – xy³ = 0 dx. d³y d²y +y dx2 В. = 0 dx3 d³y…

A: Check each options while it is 3rd order as well as nonlinear differential equation.

Q: Solve the initial value problem. dy -=x°(y- 3), y(0) = 8 dx

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Q: 1. Find the general solution of dy dx + y = x

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Q: Find the general solution of dy xy = 1+ y?

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Q: initial-value

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Q: Find general solution of (4x + 6y)dx + (8x + 12y − 6)dy = 0 (DE WITH COEFFICIENTS LINEAR IN 2…

A: We have to solve given problem:

Q: Find the general solution of (y + 1)dx + (4x - y) dy = 0 Show your solutions on a separate sheet of…

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Q: Find the particular solution to DE:  ( xy^2 - x ) dx - ( 2x^2y - 3y ) dy = 0 ; y ( 1 ) = 2

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Q: dy/dx= 2ex-e-x y(0)=5

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Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: dy dx Vx² – 16 х d explicit particular solution of the initial value problem 2y- У(5) %3D2

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Q: Solve the initial value problem: y(x) = 2x - 4y√x² + 1. dy dx = 0, y(0) = -4

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Q: 1. Find the general solution of dy dx +y=x

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Q: Solve the initial-value problem d²y 4- - 4 - 3y = 0, y(0) = 1, y'(0) = 5. dx2 dy dx

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Q: The solution of y" + y = 0 with initial conditions y (0) = 1 and %3D y = 2 is

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Q: Solve the initial value problem √y dx + (x - 2)dy = 0, y(3) = 9

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Q: Find the particular solution for initial value problem.

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Q: Find the solution of the initial value problem dy 2 - - 4y + 0, y(1) = 2 dx

A: Given differential equation is −xdydx−4y+2x2=0......1 and y1=2. We have to find the solution of the…

Q: Find the general solution of (x-4y)dx + (x+2y dy) = 0

A: Given

Q: a. Solve the initial value problem dx with y(0) = 4. Use t as the variable of integration in the…

A: I have solved using separation of vsriable method

Q: Solve the initial-value problems. dy _ 1 dy x+1 a.- dx dy - = x²/x³; y(0) = 0 2- y(-1) = 5 ; y(1) =…

A: Solve initial value problems

Q: b) Use the initial condition y(0)= 2.14 to find the particular solution of -2y+x² + 2x* = 0 %3D dx

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Q: Solve the initial value problem 2(y- 1)dy = (4x2 + 5x – 1)dx for y(0) = 2 %3D

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Q: dy-5+4y =16x+20e" dx ; y(0) = 0, y'(0) =1 dx

A: Given differential equation d2ydx2-5dydx+4y=16x+20ex. The Auxiliary equation is…

Q: Find the general solution of the DE dy/dx = y(x – y) / x^2

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Q: 3. Solve the DE dy a. = x + 2x dx 3 dy b. dx dy C. = 4 cos 6x - dx 4 dy d. dx %3D x2-1 dy e. dx %3D…

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Q: Find an explicit solution of the given initial-value problem. x2 dy = y - %3D у — ху, у(-1) %3D -1…

A: Firstly we will solve the given differential equation by using variable separable form then…

Q: Find an explicit solution of the given initial-value problem. +²dy x=y=xy, y(-1) = -4 dx y =

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Q: Find the particular solution of the equation 2(x +3) dy – xy dx = 0 %3D - tisfying the initial…

A: Given: 2(x+3)dy-xydx=0     satisfying the intial condition x=-2 and y=1

Q: 2. Find the particular solution of (xy + x)dx = (x?y² + x² + y² + 1)dy satisfying the initial…

A: Using Variable Separable Method

Q: Find general solution of (x − 4y − 3)dx + (−x + 6y + 5)dy = 0 (DE WITH COEFFICIENTS LINEAR IN 2…

A:

Q: 3. y'(x'y-2)dx+x(x*y' + 2y° - x)dy = 0 : y(1) = 1

A: We have to find the particular solution.

Q: Find the solution of the initial value problem subject to the indicated initial condition in terms…

A: Given 2x (x2+y)dx = d y , y(0) = -1

Q: e general solution to the DE  is(6x+y2)dx+y(2x-3y)dy

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Q: Solve the initial value problem given below. dy - 3y (-2 – y) dx

A: To Determine: solve the initial value problem.

Q: 6. Find the general solution of 2x(3x + y – ye-**)dx + (x² + 3y2 + e-**)dy = 0

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Q: 1. Determine the general solution of (x 3y )dx – x dy = U

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

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0.

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Q: Find an explicit solution of the given initial-value problem. dy y (2) = 2 %3D dx x2-1

A: An equation which involves the derivative or differential coefficient is called differential…

Q: Solve the initial value problem dy/dx=(x+y+1)2-(x+y-1)2  where y(0)=1/2

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Q: Solve the initial-value problem. dy (x² + 1) Y + 3x(y – 1) = 0, y(0) = 7 %3D dx

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Q: 2. Obtain the general solution of: xy dx – (x² + 3y²) dy = 0

A: