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Popular >

(dy)/(dt)=y+1,y(0)=0

Solution

\frac{d y}{d t} = y + 1, y (0) = 0

Solution

y = e^{t} - 1

Solution steps

\frac{d y}{d t} = y + 1

Solve separable ODE:

y = e^{t} - 1

y = e^{t} - 1

Popular Examples

(dx)/(dt)=125-x/(100),x=4000,t=0

\frac{d x}{d t} = 125 - \frac{x}{100}, x = 4000, t = 0

y^{^{'}} + 12 y = 1

y^'=-(5y(2x+9)^2)

y^{^{'}} = - (5 y (2 x + 9)^{2})

((dQ)/(dt)+2/300 Q)=0.8

(\frac{d Q}{d t} + \frac{2}{300} Q) = 0.8

(dy)/(dx)=(9x^2)/(10y^2)

\frac{d y}{d x} = \frac{9 x ^{2}}{10 y ^{2}}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=y+1,y(0)=0 ?
The solution for (dy)/(dt)=y+1,y(0)=0 is y=e^t-1