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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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$\frac{dy}{dx}=\frac{-1}{ye^{\left(y^2\right)}\left(2\sin\left(x\right)^2-2\right)}$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=(-e^(-y^2))/(y(2sin(x)^2-2)). 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. Simplify the expression \frac{-1}{2\sin\left(x\right)^2-2}dx. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.