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Beliebt Rechnen >

y^3(dy)/(dx)=4x^3y^4-16x^3

Lösung

y^{3} \frac{d y}{d x} = 4 x^{3} y^{4} - 16 x^{3}

Lösung

y = 4 e^{4 x^{4} + c_{1}} + 4, y = - 4 e^{4 x^{4} + c_{1}} + 4

Schritte zur Lösung

y^{3} \frac{d y}{d x} = 4 x^{3} y^{4} - 16 x^{3}

Solve separable ODE:

y = 4 e^{4 x^{4} + c_{1}} + 4, y = - 4 e^{4 x^{4} + c_{1}} + 4

y = 4 e^{4 x^{4} + c_{1}} + 4, y = - 4 e^{4 x^{4} + c_{1}} + 4

Graph

Beliebte Beispiele

y^'=-0.06sqrt(y)

y^{^{'}} = - 0.06 y

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

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

y^{^{'}} = 7 y, y (0) = 1

f(x)=x^5cos(x)f^'(x)

f (x) = x^{5} cos (x) f^{^{'}} (x)

q^'+1/50 q=0.2,q(0)=5

q^{^{'}} + \frac{1}{50} q = 0.2, q (0) = 5