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  3. consider the following second-order ode, y"+1/4y=0

Consider the following second-order ODE, y"+1/4y=0 with y(0) = 1 and y'(0)=0. Transform this unique equation into a...

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Question

Advance Math

Consider the following second-order ODE,

y"+1/4y=0

with y(0) = 1 and y'(0)=0.

Transform this unique equation into a system of two 1st-orderODEs.

Solve the obtained system for t in [0,0.6] with h = 0.2 byMATLAB using Euler Method or Improved Euler Method.

Answer & Explanation Solved by verified expert
4.1 Ratings (752 Votes)
Matlab code for Euler and Heuns and RK4 method for 2dODEclear allclose allfunctions for Euler and Huen methodfty1y2 y2gty1y2 14y1fprintfHere let us considerfprintf dxdtfty1y2y2fprintf dydtgty1y214y1step sizeh02Initial guessy101 y200y1euler1y10 y2euler1y20teuler10 tend06ntendteuler1hiteration for y1 and y2    See Answer
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