d u = \arcsin y d y
Solve for u (complex solution)
\left\{\begin{matrix}u=\frac{\arcsin(dy^{2})}{d}\text{, }&d\neq 0\\u\in \mathrm{C}\text{, }&d=0\end{matrix}\right.
Solve for u
\left\{\begin{matrix}u=\frac{\arcsin(dy^{2})}{d}\text{, }&d\neq 0\text{ and }y\neq 0\text{ and }|d|\leq \frac{1}{y^{2}}\\u\in \mathrm{R}\text{, }&d=0\text{ and }y\neq 0\end{matrix}\right.
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du=\arcsin(y^{2}d)
Multiply y and y to get y^{2}.
du=\arcsin(dy^{2})
The equation is in standard form.
\frac{du}{d}=\frac{\arcsin(dy^{2})}{d}
Divide both sides by d.
u=\frac{\arcsin(dy^{2})}{d}
Dividing by d undoes the multiplication by d.
du=\arcsin(y^{2}d)
Multiply y and y to get y^{2}.
du=\arcsin(dy^{2})
The equation is in standard form.
\frac{du}{d}=\frac{\arcsin(dy^{2})}{d}
Divide both sides by d.
u=\frac{\arcsin(dy^{2})}{d}
Dividing by d undoes the multiplication by d.
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