Q6) Solve the following differential equation: dy =y-4y2, - by Euler's method (4 steps, h-0.1). y (0) = 0.2

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Q6) Solve the following differential equation:
dy
dx
by Euler's method (4 steps, h-0.1).
= y - 4y²,
y (0) = 0.2
Transcribed Image Text:Q6) Solve the following differential equation: dy dx by Euler's method (4 steps, h-0.1). = y - 4y², y (0) = 0.2
Expert Solution
Step 1

Sol:-

The step size is h=25-04=110hThe Euler's method states that yn+1=yn+h·ftn,ynyn+1=yn+hf(tn,yn),where tn+1=tn+htn+1=tn+h.We have that h=110h=101,t0=0 t0=0,y0=15y0=51,and ft,y=-4y2+yf(t,y)=4y2+y.

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