A solution curve to passes through

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

A solution curve to dydx=2y−3x+4\dfrac{dy}{dx}=\dfrac{2y-3}{x+4} passes through (−2,2)(-2,2). Which equation represents this curve? (a) y=14(x+4)2+32y=\dfrac{1}{4}(x+4)^{2}+\dfrac{3}{2} (b) y=18(x+4)2−32y=\dfrac{1}{8}(x+4)^{2}-\dfrac{3}{2} (c) y=−18(x+4)2+32y=-\dfrac{1}{8}(x+4)^{2}+\dfrac{3}{2} (d) y=18(x+4)2+32y=\dfrac{1}{8}(x+4)^{2}+\dfrac{3}{2}

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