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A. Find the first and second derivative of the following function in terms of the parameters c1 and c2.
y = c1x + c2x4 y′
b. Find a linear second-order differential equation F(x, y, y′, y″) = 0 for which y = c1x + c2x4 is a two-parameter family of solutions. Make sure that your equation is free of the arbitrary parameters c1 and c2. (Use yp for y′ and ypp for y″.)
Answers: 1
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