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Popular >

-2(dy)/(dx)+6x^2=0

Solution

- 2 \frac{d y}{d x} + 6 x^{2} = 0

Solution

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

Solution steps

- 2 \frac{d y}{d x} + 6 x^{2} = 0

Substitute

\frac{d y}{d x}

with

y^{'} (x)

- 2 y^{^{'}} (x) + 6 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

(\partial)/(\partial x)(x^2y^4)

\frac{\partial}{\partial x} (x^{2} y^{4})

limit as x approaches 0 of (5x^2)/x

x \to 0 lim (\frac{5 x ^{2}}{x})

(\partial)/(\partial x)(x/(4x^2+9y^2))

\frac{\partial}{\partial x} (\frac{x}{4 x ^{2} + 9 y ^{2}})

derivative of y=(x+5)/(x^3+x-9)derivative of

y = \frac{x + 5}{x ^{3} + x - 9}

derivative of f(x)=(6x+x^2)/((3+x)^2)derivative of

f (x) = \frac{6 x + x ^{2}}{( 3 + x ) ^{2}}

Frequently Asked Questions (FAQ)

What is the solution for -2(dy)/(dx)+6x^2=0 ?
The solution for -2(dy)/(dx)+6x^2=0 is y=x^3+c_{1}