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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

y^{''}+25y=-40sec(5t)

y^{^{''}} + 25 y = - 40 sec (5 t)

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

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

limit as x approaches 2 of (x^2)^2

x \to 2 lim ((x^{2})^{2})

area y=x,y=3x,y=-x+2 area

y = x, y = 3 x, y = - x + 2

sum from n=0 to infinity of n*(3/4)^n

n = 0 \sum \infty n \cdot (\frac{3}{4})^{n}

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}