Graph particular solutions of the following ODE, proceeding as explained.(21)? ? ?dy - y 2 sin x
Question:
Graph particular solutions of the following ODE, proceeding as explained.(21)? ? ?dy - y2sin x dx = 0
(a) Show that (21) is not exact. Find an integrating factor using either Theorem 1 or 2. Solve (21).
(b) Solve (21) by separating variables. Is this simpler than (a)?
(c) Graph the seven particular solutions satisfying the following initial conditions y(0) = 1, y(π/2) = ? 1/2, ? 2/3, ? 1 (see figure below).
(d) Which solution of (21) do we not get in (a) or (b)?
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a Theorem 1 does not apply Theorem 2 gives The exact ODE is as one could have seen by in...View the full answer
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