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Popular >

(dy)/(dt)=y

Solution

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

Solution

y = e^{t + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{t + c_{1}}

y = e^{t + c_{1}}

Popular Examples

derivative of y=sqrt(2x-1)derivative of

y = 2 x - 1

tangent of 7+2e^x-4x^4x-y=9 tangent of

7 + 2 e^{x} - 4 x^{4} x - y = 9

(\partial)/(\partial x)(x^{2x})

\frac{\partial}{\partial x} (x^{2 x})

limit as t approaches 1 of (t^3-1)/(t-1)

t \to 1 lim (\frac{t ^{3} - 1}{t - 1})

limit as x approaches+0-of 6/(5x^{1/3)}

x \to + 0 - lim (\frac{6}{5 x ^{\frac{1}{3}}})

Frequently Asked Questions (FAQ)

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