en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=6x(y^2+1)

Solution

\frac{d y}{d x} = 6 x (y^{2} + 1)

Solution

y = tan (3 x^{2} + c_{1})

Solution steps

\frac{d y}{d x} = 6 x (y^{2} + 1)

Solve separable ODE:

y = tan (3 x^{2} + c_{1})

y = tan (3 x^{2} + c_{1})

Popular Examples

(dP)/(dt)=7sqrt(Pt),P(1)=3

\frac{d P}{d t} = 7 Pt, P (1) = 3

(dy)/(dx)=(10-y)cos(x)

\frac{d y}{d x} = (10 - y) cos (x)

3(yx^2+y)y^'+sqrt(2+y^2)=0,y(1)=2

3 (y x^{2} + y) y^{^{'}} + 2 + y^{2} = 0, y (1) = 2

(dy}{dx}=\frac{3xsqrt(1+y^2))/y

\frac{d y}{d x} = \frac{3 x 1 + y ^{2}}{y}

(dy)/(dt)+2y=7,y(0)=1

\frac{d y}{d t} + 2 y = 7, y (0) = 1

Frequently Asked Questions (FAQ)

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