Differential Equations

Differential equations are equations containing derivatives. Solutions to differential equations are sets of functions. Often only approximate solutions can be found. Here are two systems of differential equations and plots of their solutions:
    • x'(t) = -y(t) - x(t)2
    • y'(t) = 2x(t) - y(t)3
    • x(0) = 1
    • y(0) = 1
    • x''(t) = -x(t) / r(t)2 - x2(t) / r2(t)2
    • y''(t) = -y(t) / r(t)2 - y(t) / r2(t)2
    • x(0) = 0
    • y(0) = 4
    • x'(0) = -1
    • y'(0) = 0
    • (r(t)2 = x(t)2 + y(t)2)
    • (x2(t) = x(t) - 2)
    • (r2(t)2 = x2(t)2 + y(t)2)

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