de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2)/(dx^2)xy+2x^2=5

Lösung

\frac{d ^{2}}{d x ^{2}} x y + 2 x^{2} = 5

Lösung

y = \frac{5 x}{2} - \frac{x ^{3}}{6} + c_{1} + \frac{c _{2}}{x}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (x y) + 2 x^{2} = 5

Isoliere

(x y)^{''} : (x y)^{''} = 5 - 2 x^{2}

Löse

(x y)^{''} = 5 - 2 x^{2} : (x y)^{'} = 5 x - \frac{2 x ^{3}}{3} + c_{1}

Löse

(x y)^{'} = 5 x - \frac{2 x ^{3}}{3} + c_{1} : y = \frac{5 x}{2} - \frac{x ^{3}}{6} + c_{1} + \frac{c _{2}}{x}

y = \frac{5 x}{2} - \frac{x ^{3}}{6} + c_{1} + \frac{c _{2}}{x}

Graph

Beliebte Beispiele

integral of sin^3(x)*cos(x)

\int sin^{3} (x) \cdot cos (x) d x

(\partial)/(\partial x)(\sqrt[4]{6x^2+4})

\frac{\partial}{\partial x} (4 6 x^{2} + 4)

derivative 7/(sqrt(x+4))

d er i v a t i v e \frac{7}{x + 4}

integral of x^3e^{x^4+5}

\int x^{3} e^{x^{4} + 5} d x

y+y^4=(y^6+3x)y^'

y + y^{4} = (y^{6} + 3 x) y^{^{'}}