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Beliebt Rechnen >

(1+x^4)dy+(1+4y^2)dx=0

Lösung

(1 + x^{4}) d y + (1 + 4 y^{2}) d x = 0

Lösung

y = \frac{tan ( - c _{1} + \frac{l n ( \frac{x ^{2} - 2 x + 1}{x ^{2} + 2 x + 1} ) - 2 a r c t a n ( 2 x + 1 ) - 2 a r c t a n ( 2 x - 1 )}{2 2} )}{2}

Schritte zur Lösung

(1 + x^{4}) d y + (1 + 4 y^{2}) d x = 0

Solve separable ODE:

y = \frac{tan ( - c _{1} + \frac{l n ( \frac{x ^{2} - 2 x + 1}{x ^{2} + 2 x + 1} ) - 2 a r c t a n ( 2 x + 1 ) - 2 a r c t a n ( 2 x - 1 )}{2 2} )}{2}

y = \frac{tan ( - c _{1} + \frac{l n ( \frac{x ^{2} - 2 x + 1}{x ^{2} + 2 x + 1} ) - 2 a r c t a n ( 2 x + 1 ) - 2 a r c t a n ( 2 x - 1 )}{2 2} )}{2}

Graph

Beliebte Beispiele

y^'-5y^{(2)}e^{(-3x)}=0,y(0)=9

y^{^{'}} - 5 y^{(2)} e^{(- 3 x)} = 0, y (0) = 9

integral of (x^3)/(x^2+2x+1)

\int \frac{x ^{3}}{x ^{2} + 2 x + 1} d x

tangent y=((x^2))/(8+sqrt(x))

t an g e n t y = \frac{( x ^{2} )}{8 + x}

integral of ((1-x^3))/(x\sqrt[3]{x)}

\int \frac{( 1 - x ^{3} )}{x 3 x} d x

integral of ae^{-mx}

\int a e^{- m x} d x