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Euler's method
This video introduces Euler's Method, a numerical way to approximate solutions to differential equations when analytical methods don't work. Using a table with x, y, and dy/dx values, we start with an initial condition and increment x by a chosen delta x to estimate y values: smaller delta x gives better approximations.
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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Calculate the exact solution and investigate the accuracy of your approximations. Round your results to four decimal places. y^'=y^2(1 2 x), y(-1)=1, d x=0.5 | Numerade
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[GET ANSWER] Use Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3 and y4 of the solution of the initial-value problemy' = y - 4x, y(3) = 2.y1 =y2 =y3 =y4 =
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