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Popular >

(dy)/(dt)=16y

Solution

\frac{d y}{d t} = 16 y

Solution

y = e^{16 t + c_{1}}

Solution steps

\frac{d y}{d t} = 16 y

Solve separable ODE:

y = e^{16 t + c_{1}}

y = e^{16 t + c_{1}}

Popular Examples

2 y y^{^{'}} = 12 t^{2}

(dy)/(dx)=(y^3)/(x^4)

\frac{d y}{d x} = \frac{y ^{3}}{x ^{4}}

(dy)/(dx)=-2/4 x^3y^8

\frac{d y}{d x} = - \frac{2}{4} x^{3} y^{8}

(dy)/(dt)=(0.002*(-4.43sqrt(y)))/(10)

\frac{d y}{d t} = \frac{0.002 \cdot ( - 4.43 y )}{10}

x^3(dy)/(dx)+4y^2=0,y(1)=1

x^{3} \frac{d y}{d x} + 4 y^{2} = 0, y (1) = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=16y ?
The solution for (dy)/(dt)=16y is y=e^{16t+c_{1}}