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Unformatted text preview: condition y = 0 when x = 0. 5. For Further Exploration: Use your calculator to plot the slope fields for the equations below: y ' = x y y ' = x 2 y y ' = xy 2 + x 2 y ' = y2 x1 6. Let f be the function that satisfies the initial value problem 2 dy = y + x dx and f(0) = 1. Use Euler’s method and increments of ∆ x = 0.2 to approximate f(1). Use Euler’s method with increments of ∆ x = 0.2 to approximate the value for the solution of the given initialvalue problem: 7. Find f(1) if dy = 2x + y dx and y = 0 when x = 0. (x,y) 2 dy = y + x dx ∆ x dy y = x dx Δ Δ (x+ ∆ x, y+ ∆ y) (x,y) dy = 2x + y dx ∆ x dy y = x dx Δ Δ (x+ ∆ x, y+ ∆ y)...
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 Fall '10
 waldron
 Differential Equations, dx, dy

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