\frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { y } { C }
Solve for C
C\neq 0
y=0
Solve for x (complex solution)
x\in \mathrm{C}
y=0\text{ and }C\neq 0
Solve for x
x\in \mathrm{R}
y=0\text{ and }C\neq 0
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C\frac{\mathrm{d}(y)}{\mathrm{d}x^{2}}=y
Variable C cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by C.
0=y
The equation is in standard form.
C\in
This is false for any C.
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Limits
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