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Popular >

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

Solution

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

Solution

y = e^{t}

Solution steps

\frac{d y}{d t} - y = 0

Solve separable ODE:

y = e^{t}

y = e^{t}

Popular Examples

(dy)/(dx)=(y-1)/(x^2sqrt(4+x^2))

\frac{d y}{d x} = \frac{y - 1}{x ^{2} 4 + x ^{2}}

(dP)/(dt)=7sqrt(Pt)

\frac{d P}{d t} = 7 Pt

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

y^{^{'}} = 7 y - 2

y^'(x)=(15+3x^2)/(3y^2-12y),y(0)=2

y^{^{'}} (x) = \frac{15 + 3 x ^{2}}{3 y ^{2} - 12 y}, y (0) = 2

Frequently Asked Questions (FAQ)

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