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Popular >

(9+x)(dy)/(dx)=6+x

Solution

(9 + x) \frac{d y}{d x} = 6 + x

Solution

y = - 3 ln (9 + x) + x + c_{1}

Solution steps

(9 + x) \frac{d y}{d x} = 6 + x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

(9 + x) y^{^{'}} (x) = 6 + x

Isolate

y^{'} (x) : y^{'} (x) = \frac{6 + x}{9 + x}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int \frac{6 + x}{9 + x} d x

\int \frac{6 + x}{9 + x} d x = - 3 ln (9 + x) + x + c_{1}

y = - 3 ln (9 + x) + x + c_{1}

Popular Examples

derivative of (xy/2)

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

(\partial)/(\partial y)(-20xy^2+6x)

\frac{\partial}{\partial y} (- 20 x y^{2} + 6 x)

xy^'=y^2,y(1)=1

x y^{^{'}} = y^{2}, y (1) = 1

t \cdot y^{^{'}} - 3 \cdot y = t^{4}

laplacetransform (t+2)^2e^t laplace transform

(t + 2)^{2} e^{t}

Frequently Asked Questions (FAQ)

What is the solution for (9+x)(dy)/(dx)=6+x ?
The solution for (9+x)(dy)/(dx)=6+x is y=-3ln(9+x)+x+c_{1}