The graph of a member of a family of solutions of a second-order diffe

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The graph of a member of a family of solutions of a second-order differential equation d2y/dx2 = f(x, y, y′) is given. (i) Match the solution curve with at least one pair of the following initial conditions. (Select all that apply.) y(1) = 1, y′(1) = −2 y(−1) = 0, y′(−1) = −4 y(1) = 1, y′(1) = 2 y(0) = −1, y′(0) = 2 y(0) = −1, y′(0) = 0 y(0) = −4, y′(0) = −2

The graph of a member of a family of solutions of a second-order differential equation d2y/dx2 = f(x, y, y′) is given. (i) Match the solution curve with at least one pair of the following initial conditions. (Select all that apply.) y(1) = 1, y′(1) = −2 y(−1) = 0, y′(−1) = −4 y(1) = 1, y′(1) = 2 y(0) = −1, y′(0) = 2 y(0) = −1, y′(0) = 0 y(0) = −4, y′(0) = −2

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The graph of a member of a family of solutions of a second-order differential equation

\frac{d^{2} y}{d x^{2}} = f (x, y, y^{'})

is given. (i) Match the solution curve with at least one pair of the following initial conditions. (Select all that apply.)

y (1) = 1, y^{'} (1) = - 2

y (- 1) = 0, y^{'} (- 1) = - 4

y (1) = 1, y^{'} (1) = 2

y (0) = - 1, y^{'} (0) = 2

y (0) = - 1, y^{'} (0) = 0

y (0) = - 4, y^{'} (0) = - 2

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