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Popular >

(dy)/(dx)-y=1,y(0)=0

Solution

\frac{d y}{d x} - y = 1, y (0) = 0

Solution

y = e^{x} - 1

Solution steps

\frac{d y}{d x} - y = 1

Solve separable ODE:

y = e^{x} - 1

y = e^{x} - 1

Popular Examples

((2x)/y)dy+((2ln(5y)+1)/x)dx=0

(\frac{2 x}{y}) d y + (\frac{2 ln ( 5 y ) + 1}{x}) d x = 0

sin(t)cos(x)dt+sin(x)cos(t)dx=0

sin (t) cos (x) d t + sin (x) cos (t) d x = 0

(dy)/(dx)=e^{2y}

\frac{d y}{d x} = e^{2 y}

x^{^{'}} = e^{- x}

(dy)/(dx)+y=6x^2y

\frac{d y}{d x} + y = 6 x^{2} y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)-y=1,y(0)=0 ?
The solution for (dy)/(dx)-y=1,y(0)=0 is y=e^x-1