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Popular >

(dy)/(dx)=(8y)/(9x)

Solution

\frac{d y}{d x} = \frac{8 y}{9 x}

Solution

y = c_{1} x^{\frac{8}{9}}

Solution steps

\frac{d y}{d x} = \frac{8 y}{9 x}

Solve separable ODE:

y = c_{1} x^{\frac{8}{9}}

y = c_{1} x^{\frac{8}{9}}

Popular Examples

y^'=(1+cos(x))y,y(0)=1

y^{^{'}} = (1 + cos (x)) y, y (0) = 1

(dy)/(dx)(1-x^2)+xy=x

\frac{d y}{d x} (1 - x^{2}) + x y = x

y^'csc(t)=(-y^{13})/(12)

y^{^{'}} csc (t) = \frac{- y ^{13}}{12}

y^'=(a-b)y(1-(y/k))

y^{^{'}} = (a - b) y (1 - (\frac{y}{k}))

(dp)/(dx)=0.02(3000-p)

\frac{d p}{d x} = 0.02 (3000 - p)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=(8y)/(9x) ?
The solution for (dy)/(dx)=(8y)/(9x) is y=c_{1}x^{8/9}