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Popular >

(dy)/(dt)=1y,y(1)=3

Solution

\frac{d y}{d t} = 1 y, y (1) = 3

Solution

y = 3 e^{t - 1}

Solution steps

\frac{d y}{d t} = 1 y

Solve separable ODE:

y = 3 e^{t - 1}

y = 3 e^{t - 1}

Popular Examples

derivative of 3x^3+5x^2-4x+10

\frac{d}{d x} (3 x^{3} + 5 x^{2} - 4 x + 10)

integral of tan^2(6x)sec^4(6x)

\int tan^{2} (6 x) sec^{4} (6 x) d x

area x^3,-x,8 area

x^{3}, - x, 8

derivative of sqrt((2x-y))

\frac{d}{d x} ((2 x - y))

\frac{d}{d t} (t^{4})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=1y,y(1)=3 ?
The solution for (dy)/(dt)=1y,y(1)=3 is y=3e^{t-1}