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Popular >

(dy)/(dt)=2(1-y),y(0)=0

Solution

\frac{d y}{d t} = 2 (1 - y), y (0) = 0

Solution

y = - e^{- 2 t} + 1

Solution steps

\frac{d y}{d t} = 2 (1 - y)

Solve separable ODE:

y = - e^{- 2 t} + 1

y = - e^{- 2 t} + 1

Popular Examples

tangent of y=(8x)/(x^2+1),(0,0)tangent of

y = \frac{8 x}{x ^{2} + 1}, (0, 0)

(x^4+1)dy+x(1+4y^2)dx=0

(x^{4} + 1) d y + x (1 + 4 y^{2}) d x = 0

sum from n=0 to infinity of (n^2)/(5^n)

n = 0 \sum \infty \frac{n ^{2}}{5 ^{n}}

integral of e^{-2s}

\int e^{- 2 s} d s

laplacetransform 1 laplace transform

1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=2(1-y),y(0)=0 ?
The solution for (dy)/(dt)=2(1-y),y(0)=0 is y=-e^{-2t}+1