Approximate the solution of the following initial value problem using Euler's method with step size, h= 0.25. dx x(1) = 2 , 1

Q: there a way to check if the equation you find after applying the initial condition is correct?

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A: Topic-basic maths

Q: dx + 2– + x = u(1) x(0) = x'(0) = 1 dt

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Q: (b) Solve the equation 2 = dy %3D -x+/x²+yz y(-3) = 4 for -3 <x57 taking the dx y step-length h =…

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Q: Solve the initial value problem, and graph the solution function x(t). x' + 10x' +26x =…

A: Given equation contains Dirac delta function we solve by Laplace Transformation.

Q: a?u a?u = 4 at? -00 < x < 0 əx² u(x,0) = senx ,–-0 < x < 0 ди (x, 0) = 1, - 0 < x < 0 at

A: Use D'Alembert formula.

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A: Integrating factor method for solving a differtial equation  Consider the differtial equation…

Q: Solve the initial value problem for dy/dx=y+3, y(1)=-2

A: The given initial value problem,We have to find the solution to the initial value problem.

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A: Consider the given table.

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Q: dy dt 13.1 y – 13.94 y²; y(0) = 0.03

A: Given,dydt=13.1y-13.94y2113.1y-13.94y2dy=dt1y13.1-13.94ydy=dtintegrating both the…