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Popular >

(dy)/(dx)=(2)x

Solution

\frac{d y}{d x} = (2) x

Solution

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

Solution steps

\frac{d y}{d x} = (2) x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int 2 x d x

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

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

Popular Examples

yy^'=x-yx,y(1)=0

y y^{^{'}} = x - y x, y (1) = 0

y^{^{'}} = y ln (y)

y^'=((2-e^x))/((3+2y))

y^{^{'}} = \frac{( 2 - e ^{x} )}{( 3 + 2 y )}

(dP)/(dt)=sqrt(Pt),P(1)=6

\frac{d P}{d t} = Pt, P (1) = 6

(dy)/(dx)=(sqrt(x^3))/(2y),y(0)=-4

\frac{d y}{d x} = \frac{x ^{3}}{2 y}, y (0) = - 4

Frequently Asked Questions (FAQ)

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