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Popular >

5(dy)/(dx)+2x=3

Solution

5 \frac{d y}{d x} + 2 x = 3

Solution

y = \frac{1}{5} (3 x - x^{2}) + c_{1}

Solution steps

5 \frac{d y}{d x} + 2 x = 3

Substitute

\frac{d y}{d x}

with

y^{'} (x)

5 y^{^{'}} (x) + 2 x = 3

Isolate

y^{'} (x) : y^{'} (x) = \frac{3 - 2 x}{5}

If

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

then

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

y = \int \frac{3 - 2 x}{5} d x

\int \frac{3 - 2 x}{5} d x = \frac{1}{5} (3 x - x^{2}) + c_{1}

y = \frac{1}{5} (3 x - x^{2}) + c_{1}

Graph

Popular Examples

integral of (3x^2+1)/(x^3+x)

\int \frac{3 x ^{2} + 1}{x ^{3} + x} d x

derivative of f(x)= 2/5 x^5-4x^3+9x^2-6x-2

\frac{d}{d x} f (x) = \frac{2}{5} x^{5} - 4 x^{3} + 9 x^{2} - 6 x - 2

derivative of y=2x^{-3/4}derivative of

y = 2 x^{- \frac{3}{4}}

limit as t approaches 0 of (sqrt(t^2+9-3))/(t^2)

t \to 0 lim (\frac{t ^{2} + 9 - 3}{t ^{2}})

integral of 1/(2x-1)-1/(2x-1)

\int \frac{1}{2 x - 1} - \frac{1}{2 x - 1} d x

Frequently Asked Questions (FAQ)

What is the solution for 5(dy)/(dx)+2x=3 ?
The solution for 5(dy)/(dx)+2x=3 is y= 1/5 (3x-x^2)+c_{1}