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Solve using matlab code The initial value problem dydx?y= 2 cosx, y(0) =?2 has the exact solution...

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Advance Math

Solve using matlab code

The initial value problem dydx?y= 2 cosx, y(0) =?2

has the exact solution y(x) =?e^x ??2 cos (x+?4).

Use the Euler method to solve the initial value problem for0?x?2 using n=10,50,100,200 and plot solutions in one graph.

Repeat #1 using the Runge-Kutta method and plot solutions in onegraph with the exact solution

Answer & Explanation Solved by verified expert
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MATLABScriptclose allclearclc Givenf xy 2cosx y Given ODEx0 0 xf 2 Intervals of xy0 2 Initial conditionyexact x expx sqrt2cosx pi4 Exactsolution Euler Method Solutionsn1 10h1 xf x01 Step Size 1x1 x0h1xfy1 myeulerx0 y0 xf h1 fn2 50h2 xf x02 Step Size 2x2 x0h2xfy2 myeulerx0 y0 xf h2 fn3    See Answer
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