Question

) Check that each of the following functions solves the corresponding differential equation, by computing both...

) Check that each of the following functions solves the corresponding differential equation, by computing both the left-hand side and right-hand side of the differential equation.

(a) y = cos2 (x) solves dy/dx = −2 sin(x) √y

(b) y = 4x + 1/x solves x dy dx + 2/x = y

(c) y = e x 2+3 solves dy/dx = 2xy

(d) y = ln(1 + x 2 ) solves e y dy dx = 2x

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