dy Solve dx = xy using Runge-Kutta method for x = 0-2 given that v (0) I taking %3D h = 0-2.

Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: Solve the equation dy 2 dx with the initial condition y (1) = 1. 2/3

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Q: dy .Solve the initial value problem +2y=e", y(0) =-1. dx

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Q: 2. xy'dx + e"dy = 0

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Q: Solve D.E using Exact from first order 2.xy dx +(x² +3y²)dy

A: To solve the given differential equation.

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: Apply classical fourth-order Runge-Kutta method to solve dy dx f(x,y) == 4e®** –0.3y , using h=0.5…

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Q: Solve the initial value problem. √y dx + (x-4)dy=0, y(5)= 36

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Q: Solve the initial value problem dy (x - 1) 9 = (x + 1)(y – 2), given y(2) = 3. dx %3D %3|

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve the initial value problem dy + X, x > 0; y(2) = 0 x3 dx

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Q: (x² + y²)dx – xy dy = 0

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Q: Solve th D.E using Exact -(3x² – 6.xy)dx +(-3xr' – 2y)dy = 0

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Q: dy Solve the initial-value problem for y as a function of x. (49 – x²). dx = 1, y(0) = 4 Y =

A: We will solve this integration using trigonometric substitution as follows

Q: Solve the D.E [Y(1+1/x)+cosy]dx+[x+lnx-xsiny]dy=0

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Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: d’y Determine the particular solution of dx +6y = 0 if given the dx (a) dy initial value y(x) = e²…

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Q: Solve the initial value problem dy/dx=2x−1x2, x≠0, y(1)=5.

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Q: Solve the initial-value problem for yy as a function of x. (x2+49)dy/dx=1,y(7)=0.

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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 given initial value problem by using the method of exactness.  xy dx+(2x2+3y2-20)dy=0,…

A: First identify M and N and check that the differential equation is exact.

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

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Q: Find the general solution of (x +1)3d²y dx? 1TE + 3(x + 1)² + (x+ 1)y = 6 ln(x +1). dy dx

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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: Solve the Bernoulli's equation dy/dx −1/2(1+ 1/ x)y = (3 /x)y^3

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Q: Solve the initial value problem dy/dx=x2−1, y(3)=7.

A: Given:

Q: Solve for the DE: (3x²y - y)dx + (x³-x+2y) dy =0 ; y(0)=2

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Q: Find the general solution of dy/dx= e^3x+2y

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Q: Solve the initial value dy/dx = 1/x2 + 1 - 1, y(0) = 1

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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: dy Solve the initial – value problem: = y² given that f(0) = -1 dx %3D

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Q: Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

A: Given differential equation is  dydx=x3+y3+x2yxy2+x3 the given differential equation is homogenous .

Q: Find the function which solves the initial value problem dy/dx= 3ex −2x;  y(0)=−1.

A: Given that dy/dx = 3ex-2x;   y(0) = 1.dy = (3ex-2x)dx            (By cross multiplying)Integrate on…

Q: dy 6. Solve the initial value problem xy², y(0) = –1. dx %3D

A: Using seperation of variables.

Q: Solve the initial value problem dy (x – 1) = (x + 1)(y – 2), given y(2) = 3. dx |3D

A: According to our company policy, we are supposed to answer the only first question. In the first…

Q: The solution of dy=(6+2y)dx subject to the initial condition y=0 when x=0 is

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Q: x(y-1) dx + (x +1) dy -0

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Q: - solve; dy A: dx e* * y3 x+1

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Q: Solve the initial value problem: (e + y) dx + (2 +x + ye") dy = 0, y(0) = 1

A: We have to solve the initial value problem…

Q: 3.) S, t°(1+ t*y°dt 4.) (x²-5x)e*dx 5.) S(4x²-7)dx/2x+3

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Q: Solve dx/dt+3x=e^-2t given that x=4 when t=0

A: dxdt+3x=e-2t Comparing with dxdt+Px=Q, we get P=3  &  Q=e-2t Now integrating factor is, I.F=e∫P…

Q: Solve the initial value problem. dy 2xy = 8x, у(0) — 0 dx y =

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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: dy Find the general solution of (x² + 4). = xy. dx

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Q: Solve the homogenous DE Solve: xy dx - (x + 2y)^2 dy = 0.

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Q: Solve the DE by Integrating Factors 1. y² dx + ( 3xy + y² - 1) dy = 0

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Q: dy Solve the Initial Value Problem: X- dx +y=x°y* subject to y(1)= 2.

A: Given: xdydx+y=x3y4 , y(1)=2 rewrite given equation dydx+yx=x2y4      Bernouli's…