\frac { \partial x } { d y } = y
Solve for d
d=\frac{x∂}{y^{2}}
y\neq 0\text{ and }x\neq 0\text{ and }∂\neq 0
Solve for x
x=\frac{dy^{2}}{∂}
∂\neq 0\text{ and }d\neq 0\text{ and }y\neq 0
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∂x=ydy
Variable d cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by dy.
∂x=y^{2}d
Multiply y and y to get y^{2}.
y^{2}d=∂x
Swap sides so that all variable terms are on the left hand side.
y^{2}d=x∂
The equation is in standard form.
\frac{y^{2}d}{y^{2}}=\frac{x∂}{y^{2}}
Divide both sides by y^{2}.
d=\frac{x∂}{y^{2}}
Dividing by y^{2} undoes the multiplication by y^{2}.
d=\frac{x∂}{y^{2}}\text{, }d\neq 0
Variable d cannot be equal to 0.
∂x=ydy
Multiply both sides of the equation by dy.
∂x=y^{2}d
Multiply y and y to get y^{2}.
∂x=dy^{2}
The equation is in standard form.
\frac{∂x}{∂}=\frac{dy^{2}}{∂}
Divide both sides by ∂.
x=\frac{dy^{2}}{∂}
Dividing by ∂ undoes the multiplication by ∂.
Examples
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Linear equation
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Simultaneous equation
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Differentiation
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Integration
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Limits
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