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Popular >

-7y^'+21x^2=0

Solution

- 7 y^{^{'}} + 21 x^{2} = 0

Solution

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

Solution steps

- 7 y^{'} (x) + 21 x^{2} = 0

Isolate

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

If

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

then

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

y = \int 3 x^{2} d x

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

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

Popular Examples

derivative of 25e^{-5x}

\frac{d}{d x} (25 e^{- 5 x})

integral of (13-6x+21x^6)

\int (13 - 6 x + 21 x^{6}) d x

derivative of (cos(2x)/(sin(x)))

\frac{d}{d x} (\frac{cos ( 2 x )}{sin ( x )})

integral from 1 to 2 of x/(x^2+4x+20)

\int_{1}^{2} \frac{x}{x ^{2} + 4 x + 20} d x

integral of ((2+x))/(sqrt(4-2x-x^2))

\int \frac{( 2 + x )}{4 - 2 x - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for -7y^'+21x^2=0 ?
The solution for -7y^'+21x^2=0 is y=x^3+c_{1}