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Let y'= -ty+ 0.1y and y(0) = 0.81. Use Euler's method to find approximate values of the solution ...
Let y'= -ty+ 0.1y³ and y(0) = 0.81. Use Euler's method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2, 2.5, and 3 with h = 0.05. Carry out all calculations exactly and round the final answers to six decimal places. t y(t) 0.5 i 0.795024 1 i 0.757785 1.5 i 0.703127 2 0.634552 2.5 i 0.556511 3 i 0.473896