6 pnts Consider the following differential equation 1 (t2 kt)y Vt ly +...

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6 pnts Consider the following differential equation 1 (t2 – kt)y" – Vt² – ly + In t - 64|y = (t – 1) subject to y(5) = 1; y'(5) = 4 Find the certain value of "k" so that the largest possible interval over which the solution exists is (3, 8). A) 1 B) 12 C) 9 D)3 E)8 6 pnts Consider the following differential equation 1 (t2 – kt)y" – Vt² – ly + In t - 64|y = (t – 1) subject to y(5) = 1; y'(5) = 4 Find the certain value of "k" so that the largest possible interval over which the solution exists is (3, 8). A) 1 B) 12 C) 9 D)3 E)8