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Beliebt Rechnen >

(dy)/(dx)=4(y^2+1),x(pi/4)=1

Lösung

\frac{d y}{d x} = 4 (y^{2} + 1), x (\frac{π}{4}) = 1

Lösung

y = tan (4 x + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = tan (4 x + c_{1})

y = tan (4 x + c_{1})

Graph

Beliebte Beispiele

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

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

(dx)/(dt)=-(sqrt(x))/(50pi)

\frac{d x}{d t} = - \frac{x}{50 π}

(dy)/(dx)=((x+2))/((2y))

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

x^2(dy)/(dx)+xy=3x

x^{2} \frac{d y}{d x} + x y = 3 x

(dy)/(dx)=(3x^2-2x)/(2y+1),y(0)=2

\frac{d y}{d x} = \frac{3 x ^{2} - 2 x}{2 y + 1}, y (0) = 2