Solve for k
k\neq 0
x=0\text{ and }k\neq 0
Solve for x
x=0
k\neq 0
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x^{3}\frac{\mathrm{d}}{\mathrm{d}x}(y)=xk
Variable k cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by k.
xk=x^{3}\frac{\mathrm{d}}{\mathrm{d}x}(y)
Swap sides so that all variable terms are on the left hand side.
xk=0
The equation is in standard form.
k=0
Divide 0 by x.
k\in \emptyset
Variable k cannot be equal to 0.
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