Calculus-Antiderivative

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Solve the following initial value problem:

dr/dt=7cos(pi(t)), r(1/4)=14

r(t)=?

  • Calculus-Antiderivative -

    dr/dt = 7cos πt
    r = 7/π sin πt + c

    14 = 7/π sin π/4 + c
    14 = 7/(π√2) + c
    c = 14 - 7/(π√2)

    r = 7/π sin πt + 14 - 7/(π√2)

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