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Popular >

(dy)/(dx)= 1/(4x)

Solution

\frac{d y}{d x} = \frac{1}{4 x}

Solution

y = \frac{1}{4} ln (x) + c_{1}

Solution steps

\frac{d y}{d x} = \frac{1}{4 x}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = \frac{1}{4 x}

If

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

then

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

y = \int \frac{1}{4 x} d x

\int \frac{1}{4 x} d x = \frac{1}{4} ln (x) + c_{1}

y = \frac{1}{4} ln (x) + c_{1}

Popular Examples

integral of x/((x^2+1)^{1/2)}

\int \frac{x}{( x ^{2} + 1 ) ^{\frac{1}{2}}} d x

area x^4-9x^2,x^2-9,0,3 area

x^{4} - 9 x^{2}, x^{2} - 9, 0, 3

integral of x/(x^2+64)

\int \frac{x}{x ^{2} + 64} d x

(dy)/(dx)=7y^2sin(x)

\frac{d y}{d x} = 7 y^{2} sin (x)

integral of (e^x)/(2+e^x)

\int \frac{e ^{x}}{2 + e ^{x}} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= 1/(4x) ?
The solution for (dy)/(dx)= 1/(4x) is y= 1/4 ln(x)+c_{1}