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Popular >

(dy)/(dx)= y/5

Solution

\frac{d y}{d x} = \frac{y}{5}

Solution

y = e^{\frac{x + c _{1}}{5}}

Solution steps

\frac{d y}{d x} = \frac{y}{5}

Solve separable ODE:

y = e^{\frac{x + c _{1}}{5}}

y = e^{\frac{x + c _{1}}{5}}

Popular Examples

dx=6*0.5-6*x/(50)dt

d x = 6 \cdot 0.5 - 6 \cdot \frac{x}{50} d t

(dy)/(dt)=0.07(100-y),y(0)=25

\frac{d y}{d t} = 0.07 (100 - y), y (0) = 25

y - 9 \frac{d y}{d t} = 0

(dy)/(dx)y=sqrt(u),u=x^2+2

\frac{d y}{d x} y = u, u = x^{2} + 2

(dy)/(dt)=3y,y(6)=1

\frac{d y}{d t} = 3 y, y (6) = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= y/5 ?
The solution for (dy)/(dx)= y/5 is y=e^{(x+c_{1})/5}