Find the solution of the differential equation that satisfies the given initial condition. frac{dy}{dx} = frac{x}{y}, y(0) = -7. y = -7sqrt{x}. Enhanced Feedback. Please try again. The method of seperabale equations tells you that if frac{dy}{dx} = g(x)f(y), then you can rewrite the equation as frac{1}{f(y)} dy = g(x) dx. Taking the integral of both sides, you have int frac{1}{f(y)} dy = int g(x) dx. Find the integrals and solve for y.
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Step 1:** Rearrange the equation to isolate the variables on each side: \(Y^2 = X^2 + 49\) ** Show more…
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