Obtain the solution of the dy 1 1.x- + y = dx dy y2

Q: Solve the given initial-value problem. dx y - X= = 5y², x(8) = 1 dy x(y) = Give the largest interval…

A: Given that,   ydxdy-x=5y2, x(8)=1

Q: Find the explicit particular solution of the initial value problem given. dy/dx = ye^7x, y(0) = 9e

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Q: Solve dy dx =-y with y(0) = 1. Find y(0-01), y(0-02) by Runge-Kutta method.

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Q: Solve the given initial-value problem. The DE is of the form dy/dx dy/dx = cos(x+y), y(0) = π/2

A: We will find out the required solution.

Q: Solve the given initial-value problem. dx y X= = 4y2, x(6) 1 dy Give the largest interval I over…

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Q: Solve the initial value problem dy (x? + 4) + 3xy = x, y(0) = 1. dx %3D

A: Consider the initial value problem x2+4dydx+3xy=x,      y(0)=1

Q: Use Euler’s method with the specified step size to estimate the value of the solution at the given…

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Q: Let y = y(x) be the solution to the initial value problem %3D y? + x /x? + y? (x > 0); y(1) = V3. dx…

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Q: ii) Solve the Linear Differential dy equation + (sec a) y = 2 tan a dx %3D

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Q: Given the initial condition y(0) = 1, find the particular solution of the equation

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Q: Solve (1+x ) = x²y, given that x=1 when y = 2 dx Find the particular solution for y in terms of x.…

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Q: Solve the given initial-value problem. dx У dy 5y?, x(7) = 1 x(y) = Give the largest interval I over…

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Q: Finding a General Solution Using Separation of Variables. dy/dx= (x-1)/y3

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Q: using homogeneous d.e approach, solve (x^3-3xy^2)dx= (y^3-3x^2y)dy

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Q: dx/dt=x(1-x)  (Solve the DE using solution for linear and Bernoulli’s equations only.)

A: Solve the DE using solution from linear and Bernouei's eqn only…

Q: 1. Find a particular solution in the given equation which satisfies the indicated conditions.…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Check the DE if it is exact or not then solve it. (If it is not exact use the method by using…

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Q: Solve the given initial-value problem. dy dx +y=6x + 1, y(1) = 5 y(x) = Give the largest interval /…

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Q: Solve the given initial-value problem. dy dx y(x) = = x + 4y, y(0) = 6 Give the largest interval I…

A: Given differential equation is dydx=x+4y, y0=6.

Q: Using Bernoulli's equation , find the solution of DE:  4xy dy/dx = y^2 + x^2 ; initial condition…

A: The solution follows as:

Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A: The given differential equation is dydx=9x2-4x+5,  y(-1)=0 To use Euler's method to approximate the…

Q: dy 3. + Ay = w; y(0) = 0 and A> 0 dx

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Q: Using an integrating factor solve the equation dy 4 + -y = x dx

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Q: Solve the initial value problem. dy y = 7x e*, y(1) = 7 e - 7 %3D - dx The solution is y(x) =

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Use the Runge-Kutta method to solve 10(dy/dx) = x2 + y2, y(0) = 1, for the interval of 0<=x<=0.4…

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Q: Dse Runge - kutta method to Solve the equation: dly x +y %3D dx at x =0.8 given that using h= o.4 y…

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Q: Solve the initial value problem. dr-csc² 50 cot 50, 42) de 43) dy dx 3 (7) - y(0) = 6 (6 + x)2'. = 3

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Q: dx —х +3у dt 13. Find the general solution dy -3x+5y dt ||

A: The objective is to find the general solution of system of differential equations…

Q: Solve the given initial value problem and determine at least approximately where the solution is…

A: We have to solve the differential equation using the initial condition first.

Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A: We have to find the percentage of error at n=3

Q: 1. Solve for y3 using the method of successive approximation. dy = x + y; y(1) = 1 dx

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Q: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

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Q: Solve the equation dy/dx=1-y , given y(0)=0 using modified Euler’s method and find y at x=0.1 and…

A: Given differential equation is, dydx=1-y, y(0)=0. To find the solve the differential equation using…

Q: Find the solution of the initial value problem. dy sin x, y(0) = 10. dx NOTE: Enter the exact…

A: The given initial value problem is dydx=sinx, y0=10. Find the solution of the initial value problem…

Q: 1. Solve y or tne Separabie D.C. StItA . 2. Solve for y of the Exact D.E. (x² – y) dx – x dy = 0 -…

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Q: dy +y=(x-1)y' dx

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Q: (1+ In xy) dx + (-)dy = 0

A: See the attachment

Q: Q5) Solve dx dx +2xy = 3 by using Euler's method to find the approximate solution up to X-2.9 when h…

A: The solution is given below

Q: mple Solve the initial value problem dy/dx = x-y°, y(0) = 1 to find y(0.4) by %3D Adam's method.…

A: The given Initial value problem is dydx=x-y2, y(0)=1., h=0.1. To find: y(0.4)  Using Adam's Method.…

Q: Check the DE if it is exact or not then solve it. (If it is not exact use the method by using…

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Q: -2Y 1) e ** dx-e dy =0; y=0 when x=0

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Determine the general solution of y = (3y³ + x) dy/dx & give the method of solution

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Q: Find the particular solution for each initial value problem.

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Q: xy dx + e'y? - 1)dy = 0

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Q: dx(t) dx(t) 2) Solve the initial-value problem 6- dr? + 4- dt + 9x(t) = 0 , y(0) = 1 , y' (0) = 0.…

A: We will use mathematica software

Q: (a) Without solving, explain why the initial-value problem dy Vy, y(xo) = yo dx 0. has no solution…

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Q: 2. Use Runge-Kutta method to solve the IVP dy x +y? y(1) = 2. dx ху Use h=0.2 and approximate y(2).…

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Q: dy Use first approximate Picard's method to solve- dx +3y, y(0)=2. .a +6x+ 2 2 .b None of these .c +…

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Q: 1. Solve for y3 using the method of successive approximation. dy =x+ y; y(1) = 1 dx %3D

A: The given problem can be solved by the following method,

Q: Find the solution of the initial value problem. dy = sin x, y(0) = 9. dx NOTE: Enter the exact…

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