4-number Four ? Determine whether the given differential equation is exact. if it is exact, solve it (If it is not exact, enter NOT). 3 a/ (x²+y³) dx + 4xy³ dy = 0 b/ (tan(x) - sin(y))dx + cos(x) cos(x)dy=0 ? Solve the given initial-value problem. (6y + e? - 7) dt + (8y + 6t - 1)dy = 0, y(-1) = 2 (x - y²) dx + (2xy + x² - 4)dy = 0, y(1) = 1
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The given initial-value problem is: (3Tx₀ - x + 1 + g + P + E + 9)(x - y)dx + (2xy + x⁴)dy = Qy To make it easier to work with, let's rewrite it as: M(x, y)dx + N(x, y)dy = Qy where M(x, y) = (3Tx₀ - x + 1 + g + P + E + 9)(x - y) and N(x, y) = 2xy + x⁴. Show more…
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