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Popular >

(dy)/(dx)=1+1/5 y

Solution

\frac{d y}{d x} = 1 + \frac{1}{5} y

Solution

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

Solution steps

\frac{d y}{d x} = 1 + \frac{1}{5} y

Solve separable ODE:

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

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

Graph

Popular Examples

((x^2-9))/x*(dy)/(dx)+y=0,y(5)=1

\frac{( x ^{2} - 9 )}{x} \cdot \frac{d y}{d x} + y = 0, y (5) = 1

x y y^{^{'}} = x + y y^{^{'}}

(dy)/(dx)=((3x^2)/(2y))

\frac{d y}{d x} = (\frac{3 x ^{2}}{2 y})

sqrt(1-x^2)y^'=xsqrt(4-y^2)

1 - x^{2} y^{^{'}} = x 4 - y^{2}

f^{^{'}} (x) = f (x) + 4

Frequently Asked Questions (FAQ)

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