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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

t y^{^{'}} + y = 1 + y + y^{2}

derivative of {f}(x+{g}(x))

\frac{d}{d x} (f (x) + g (x))

derivative of x^m

\frac{d}{d x} (x^{m})

y^{''}+8y^'+15y=0

y^{^{''}} + 8 y^{^{'}} + 15 y = 0

derivative of f(x)=(2x)/(9x^2+1)derivative of

f (x) = \frac{2 x}{9 x ^{2} + 1}

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