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Popular >

(df)/(dt)=f(t)

Solution

\frac{df}{d t} = f (t)

Solution

f (t) = e^{t + c_{1}}

Solution steps

\frac{df}{d t} = f

Solve separable ODE:

f (t) = e^{t + c_{1}}

f (t) = e^{t + c_{1}}

Popular Examples

y^'+ln(x)*y=3*ln(x)

y^{^{'}} + ln (x) \cdot y = 3 \cdot ln (x)

(dV)/(dt)=60-1/100 V

\frac{d V}{d t} = 60 - \frac{1}{100} V

\frac{d x}{d t} - 5 x = 3

(dy)/(dx)=3e^{x-y},y(0)=ln(6)

\frac{d y}{d x} = 3 e^{x - y}, y (0) = ln (6)

(dy)/(dx)=(1+y^2)/(2yx)

\frac{d y}{d x} = \frac{1 + y ^{2}}{2 y x}

Frequently Asked Questions (FAQ)

What is the solution for (df)/(dt)=f(t) ?
The solution for (df)/(dt)=f(t) is f(t)=e^{t+c_{1}}