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Equation Academy . equationacademy · Original audio. ️ Visualizing Euler's Formula ️ Follow @equationacademy for more #math #maths #mathematics #physics #foryou #reels #algebra #calculus #euler #formula #differentiation #visualization #tangent #moving #coding #animation #ai #chatgpt #learning #learn #study #studying #fyp #explore #physics ...
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SOLVED:(a) Compute the error estimate (14) by using your Euler's method program to solve the given initial value problem. In each case, let t^*=1. Use h=0.01 and h=0.005. (b) Solve the initial value problem mathematically, and determine the exact solution at t=t^*. (c) Compare the actual error, 𝐲(t^*)-𝐲2 n, with the estimate of the error 𝐲2 n-𝐲n. [Note that estimate (14) is also applicable at any of the intermediate points 0.01,0.02, …, 0.99 .]y^''-y=t, y(0)=2, y^'(0)=-1
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SOLVED:(a) Compute the error estimate (14) by using your Euler's method program to solve the given initial value problem. In each case, let t^*=1. Use h=0.01 and h=0.005. (b) Solve the initial value problem mathematically, and determine the exact solution at t=t^*. (c) Compare the actual error, 𝐲(t^*)-𝐲2 n, with the estimate of the error 𝐲2 n-𝐲n. [Note that estimate (14) is also applicable at any of the intermediate points 0.01,0.02, …, 0.99 .]y^''-y=t, y(0)=2, y^'(0)=-1
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