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Popular >

(dy)/(dt)=2y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

d/(dy)(sqrt(4-y^2))

\frac{d}{d y} (4 - y^{2})

integral from-7 to 0 of (4+sqrt(49-x^2))

\int_{- 7}^{0} (4 + 49 - x^{2}) d x

integral of (2x^2+5x+2)/((x^2+1)^2)

\int \frac{2 x ^{2} + 5 x + 2}{( x ^{2} + 1 ) ^{2}} d x

e^{y^2}dx+x^2ydy=0

e^{y^{2}} d x + x^{2} y d y = 0

(d^2y)/(dx^2)-2(dy)/(dx)+y=e^x

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

Frequently Asked Questions (FAQ)

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