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Popular >

y^'=2x+3

Solution

y^{^{'}} = 2 x + 3

Solution

y = x^{2} + 3 x + c_{1}

Solution steps

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

If

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

then

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

y = \int 2 x + 3 d x

\int 2 x + 3 d x = x^{2} + 3 x + c_{1}

y = x^{2} + 3 x + c_{1}

Popular Examples

64y^{''}-48y^'+34y=0

64 y^{^{''}} - 48 y^{^{'}} + 34 y = 0

derivative of ln((x^2+1^{20}))

\frac{d}{d x} (ln ((x^{2} + 1)^{20}))

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

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

integral from 1 to 2 of x^{-3}

\int_{1}^{2} x^{- 3} d x

t y^{^{'}} + (t + 1) y = t

Frequently Asked Questions (FAQ)

What is the solution for y^'=2x+3 ?
The solution for y^'=2x+3 is y=x^2+3x+c_{1}