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Beliebt Rechnen >

y^'=135x^2y+18xy+30x^2+4x

Lösung

y^{^{'}} = 135 x^{2} y + 18 x y + 30 x^{2} + 4 x

Lösung

y = \frac{e ^{9 x^{2} + c_{1} + 45 x^{3}}}{9} - \frac{2}{9}

Schritte zur Lösung

y^{'} (x) = 135 x^{2} y + 18 x y + 30 x^{2} + 4 x

Solve separable ODE:

y = \frac{e ^{9 x^{2} + c_{1} + 45 x^{3}}}{9} - \frac{2}{9}

y = \frac{e ^{9 x^{2} + c_{1} + 45 x^{3}}}{9} - \frac{2}{9}

Graph

Beliebte Beispiele

y^{^{'}} = x y - x

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

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

2x-6y^2(dy)/(dx)+4=0

2 x - 6 y^{2} \frac{d y}{d x} + 4 = 0

(dy)/(dx)= x/(e^{-y)(1+x^2)^4}

\frac{d y}{d x} = \frac{x}{e ^{- y} ( 1 + x ^{2} ) ^{4}}

(3x^2+2)^2y^'-xy^2=0,y(0)= 3/2

(3 x^{2} + 2)^{2} y^{^{'}} - x y^{2} = 0, y (0) = \frac{3}{2}