Differential equation

Find y(0.5) for y′=-2x-y, x0=0,y0=-1, with step length 0.1 using Euler method (1st order derivative)

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Expert Solution

The Euler method is a first-order method, which means that the local error (error per step) is proportional to the square of the step size, and the global error (error at a given time) is proportional to the step size.Euler method (also called forward Euler method) is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value. It is the most basic explicit method for numerical integration of ordinary differential equations

y(.5)= -7715

Nipun Maity answered 2 years ago

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