solve-the-bernoulli-equation-zt4z8z2zprimet-4z8z2

Question

Solve the Bernoulli equation: z′(t)−4z=$$8z2z^{\prime}(t)-4z$$=$$8z^2$$ for z(t)z\left(t\right).

Accepted Answer

z(t)=e4tC−2e4tz\left(t\right)=\frac{$$e^{4t}$$}{$$C-2e^{4t}$$}

Answer

z(t)=1Ce4t−2z\left(t\right)=\frac{1}{$$Ce^{4t}-2$$}

Answer

z(t)=1Ce4t+2z\left(t\right)=\frac{1}{$$Ce^{4t}+2$$}

Answer

z(t)=e4tC+2e4tz\left(t\right)=\frac{$$e^{4t}$$}{$$C+2e^{4t}$$}

Solve the Bernoulli equation: z′(t)−4z=8z2z^{\(\prime\)}(t)-4z=8z^2 for z(t)z\(\left\)(t\(\right\)).