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Beliebt Rechnen >

(dx)/(dt)=x^2+1/25 ,x(0)=-3

Lösung

\frac{d x}{d t} = x^{2} + \frac{1}{25}, x (0) = - 3

Lösung

x = \frac{tan ( \frac{t - 5 \cdot 1.50422 \dots}{5} )}{5}

Schritte zur Lösung

\frac{d x}{d t} = x^{2} + \frac{1}{25}

Solve separable ODE:

x = \frac{tan ( \frac{t - 5 \cdot 1.50422 \dots}{5} )}{5}

x = \frac{tan ( \frac{t - 5 \cdot 1.50422 \dots}{5} )}{5}

Graph

Beliebte Beispiele

y = (x + 1) y^{^{'}} - 1

e^yy^'=((ln(t))^2)/t ,y(1)=ln(4)

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}, y (1) = ln (4)

(y^2-1)dx+xdy=0

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

y^3(dy)/(dx)=3x^4y^4-12x^4

y^{3} \frac{d y}{d x} = 3 x^{4} y^{4} - 12 x^{4}

y^{^{'}} - y \cdot tan (x) = 0