Exercises 1.4forn=1,t2=t1+0.1=0.2,T2=T1.1(70−T1)=97+0.1(70−97) = 94.3;forn=2,t3=t2..33=T2.1(70−T2)=94.3+0.1(70−94.3) = 91.87.Table 1–C: Euler’s method approximations for the solutions ofT0=K(M−T),T(0) = 100, withKM= 70, andh=0.1.ntnTnntnTn00.0100.00111.179.41410.197.000121.278.47320.294.300131.377.62630.391.870141.476.86340.489.683151.576.17750.587.715161.675.55960.685.943171.775.00370.784.349181.874.50380.882.914191.974.05390.981.623202.073.647101.080.460By continuing this way and rounding results to three decimal places, we Fll in Table 1-C.
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This note was uploaded on 03/29/2010 for the course MATH 54257 taught by Professor Hald,oh during the Spring '10 term at Berkeley.