Use the fourth-order Taylor series method to solve the initial value problem dy/dx = 3x + y^2,
y(0)=1 to approximate y(0.72), y(0.72+0.72), y(0.(3×72), y(0.(4×72)).
We have
f(t)=t+3 ∫0^t f(τ)dτ
When we apply Laplace function:
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