Using RK method of order 2 (Huen’s Method ) find dy/dt=yt3−1.5y From t= 0.2 t0 0.6 where y( 0.2)=1 with step –size , h = 0.1 . Compute the percent relative error at t = 0.6 Note the true value is 5.8.

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A: As per guidelines only first question is answered. For other answer please resubmit.

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A: A detailed solution is given below.

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A: Hi there, as you have mentioned, that is why is have solved mentioned question.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.