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- Exact Differential Equation
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- Integrate by partial fractions
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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
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$\frac{dy}{dx}=x^2\frac{7}{\sqrt{y}}$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=7x^2y^(-1/2). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int\frac{\sqrt{y}}{7}dy and replace the result in the differential equation.
