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Popular >

-4(dy)/(dx)+12x^2=0

Solution

- 4 \frac{d y}{d x} + 12 x^{2} = 0

Solution

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

Solution steps

- 4 \frac{d y}{d x} + 12 x^{2} = 0

Substitute

\frac{d y}{d x}

with

y^{'} (x)

- 4 y^{^{'}} (x) + 12 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 y=2x-3 derivative of

y = 2 x - 3

area y=x+6,y=x^3,x=0 area

y = x + 6, y = x^{3}, x = 0

derivative of a^{-x}

\frac{d}{d x} (a^{- x})

d/(dt)(sqrt(3t+1))

\frac{d}{d t} (3 t + 1)

integral of-tln(t)

\int - t ln (t) d t

Frequently Asked Questions (FAQ)

What is the solution for -4(dy)/(dx)+12x^2=0 ?
The solution for -4(dy)/(dx)+12x^2=0 is y=x^3+c_{1}