Solve for t (complex solution)
t\in \mathrm{C}
\lambda =-3\text{ and }T\neq 0
Solve for t
t\in \mathrm{R}
\lambda =-3\text{ and }T\neq 0
Solve for T
T\neq 0
\lambda =-3\text{ and }T\neq 0
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t\frac{\mathrm{d}}{\mathrm{d}x}(T)+T\times 3=-T\lambda
Multiply both sides of the equation by T.
t\frac{\mathrm{d}}{\mathrm{d}x}(T)=-T\lambda -T\times 3
Subtract T\times 3 from both sides.
t\frac{\mathrm{d}}{\mathrm{d}x}(T)=-T\lambda -3T
Multiply -1 and 3 to get -3.
0=-T\lambda -3T
The equation is in standard form.
t\in
This is false for any t.
t\frac{\mathrm{d}}{\mathrm{d}x}(T)+T\times 3=-T\lambda
Multiply both sides of the equation by T.
t\frac{\mathrm{d}}{\mathrm{d}x}(T)=-T\lambda -T\times 3
Subtract T\times 3 from both sides.
t\frac{\mathrm{d}}{\mathrm{d}x}(T)=-T\lambda -3T
Multiply -1 and 3 to get -3.
0=-T\lambda -3T
The equation is in standard form.
t\in
This is false for any t.
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