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Beliebt Rechnen >

(dy)/(dx)=(y-3)/(2x+1),y(0)=4

Lösung

\frac{d y}{d x} = \frac{y - 3}{2 x + 1}, y (0) = 4

Lösung

y = (2 x + 1)^{\frac{1}{2}} + 3

Schritte zur Lösung

\frac{d y}{d x} = \frac{y - 3}{2 x + 1}

Solve separable ODE:

y = (2 x + 1)^{\frac{1}{2}} + 3

y = (2 x + 1)^{\frac{1}{2}} + 3

Graph

Beliebte Beispiele

(dx)/y-(dy)/x =0

\frac{d x}{y} - \frac{d y}{x} = 0

5x^2y+4xy^'+3y=0

5 x^{2} y + 4 x y^{^{'}} + 3 y = 0

y^'=ty^2,y(0)=2

y^{^{'}} = t y^{2}, y (0) = 2

(dy)/(dt)=0.03(291-y)

\frac{d y}{d t} = 0.03 (291 - y)

(dy)/(dx)=(cos(5x))/(4y^3)

\frac{d y}{d x} = \frac{cos ( 5 x )}{4 y ^{3}}