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Beliebt Rechnen >

x^'=a+b*x

Lösung

x^{^{'}} = a + b \cdot x

Lösung

x = \frac{e ^{t b + c_{1} b}}{b} - \frac{a}{b}

Schritte zur Lösung

x^{'} (t) = a + b \cdot x

Solve separable ODE:

x = \frac{e ^{t b + c_{1} b}}{b} - \frac{a}{b}

x = \frac{e ^{t b + c_{1} b}}{b} - \frac{a}{b}

Graph

Beliebte Beispiele

sin(x)y^'+(sin^2(x))/(cos(x))y=0

sin (x) y^{^{'}} + \frac{sin ^{2} ( x )}{cos ( x )} y = 0

y^'=-1/5 y^2,y(0)=0.25

y^{^{'}} = - \frac{1}{5} y^{2}, y (0) = 0.25

4(dy)/(dx)=(e^ysin^2(x))/(ysec(x))

4 \frac{d y}{d x} = \frac{e ^{y} sin ^{2} ( x )}{y sec ( x )}

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

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

y^'=0.1044*y,y(0)=100000

y^{^{'}} = 0.1044 \cdot y, y (0) = 100000