ODE approximation

Calculus Level pending

Approximate y ( 0.5 ) y(0.5) for the ODE y ′ = sin ⁡ ( π t ) + y 2 , y ( 0 ) = 1 y'=\sin(\pi t)+y^2, y(0)=1 , using the improved Euler method, to 2 decimal places. Use intervals of Δ t = 0.5 \Delta t=0.5 .


The answer is 2.06.

Charley Shi by Charley Shi , 19, New Zealand

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1 solution

Tom Engelsman
Apr 23, 2020

1 Helpful 1 Interesting 2 Brilliant 0 Confused

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