en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+16xy=0

Solution

\frac{d y}{d x} + 16 x y = 0

Solution

y = e^{- 8 x^{2} + c_{1}}

Solution steps

\frac{d y}{d x} + 16 x y = 0

Solve separable ODE:

y = e^{- 8 x^{2} + c_{1}}

y = e^{- 8 x^{2} + c_{1}}

Popular Examples

2x(dy)/(dx)+(1-x)(dy)/(dx)-2y=0

2 x \frac{d y}{d x} + (1 - x) \frac{d y}{d x} - 2 y = 0

(dy)/(dx)=sqrt((1-y^2)/(1-x^2))

\frac{d y}{d x} = \frac{1 - y ^{2}}{1 - x ^{2}}

(dP)/(dt)=2sqrt(Pt),P(1)=5

\frac{d P}{d t} = 2 Pt, P (1) = 5

(dP)/(dt)=2sqrt(Pt),P(1)=6

\frac{d P}{d t} = 2 Pt, P (1) = 6

(dP)/(dt)=2sqrt(Pt),P(1)=3

\frac{d P}{d t} = 2 Pt, P (1) = 3

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+16xy=0 ?
The solution for (dy)/(dx)+16xy=0 is y=e^{-8x^2+c_{1}}