\frac { d ^ { 2 } y } { d x ^ { 2 } } + \frac { 2 d y } { d x } = 0
Solve for d
d\neq 0
y=0\text{ and }x\neq 0
Solve for x
x\neq 0
y=0\text{ and }d\neq 0
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dx\frac{\mathrm{d}(y)}{\mathrm{d}x^{2}}+2dy=0
Variable d cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by dx.
\left(x\frac{\mathrm{d}(y)}{\mathrm{d}x^{2}}+2y\right)d=0
Combine all terms containing d.
2yd=0
The equation is in standard form.
d=0
Divide 0 by 2y.
d\in \emptyset
Variable d cannot be equal to 0.
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