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Beliebt Rechnen >

(dy)/(dx)= 1/7 (y)^{1/2}(cos(y^{1/2}))^2

Lösung

\frac{d y}{d x} = \frac{1}{7} (y)^{\frac{1}{2}} (cos (y^{\frac{1}{2}}))^{2}

Lösung

y = arctan^{2} (\frac{x + c _{1}}{14}) + 2 πn arctan (\frac{x + c _{1}}{14}) + π^{2} n^{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{7} (y)^{\frac{1}{2}} (cos (y^{\frac{1}{2}}))^{2}

Solve separable ODE:

y = arctan^{2} (\frac{x + c _{1}}{14}) + 2 πn arctan (\frac{x + c _{1}}{14}) + π^{2} n^{2}

y = arctan^{2} (\frac{x + c _{1}}{14}) + 2 πn arctan (\frac{x + c _{1}}{14}) + π^{2} n^{2}

Graph

Beliebte Beispiele

y^'=(y^4)/(x^6),y(1)=3

y^{^{'}} = \frac{y ^{4}}{x ^{6}}, y (1) = 3

x y^{^{'}} + 2 y = 1

x \cdot \frac{d x}{d y} = 4 y

(dy)/(dx)+2/x y=0

\frac{d y}{d x} + \frac{2}{x} y = 0

(dy)/(dx)=y+y/(xln(x)),y(e)=1

\frac{d y}{d x} = y + \frac{y}{x ln ( x )}, y (e) = 1