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Beliebt Rechnen >

xy^'+4y=0,y(1)=(sqrt(3))/2

Lösung

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

Lösung

y = \frac{3 ^{\frac{1}{2}}}{2 x ^{4}}

Schritte zur Lösung

x y^{'} (x) + 4 y = 0

Solve separable ODE:

y = \frac{3 ^{\frac{1}{2}}}{2 x ^{4}}

y = \frac{3 ^{\frac{1}{2}}}{2 x ^{4}}

Graph

Beliebte Beispiele

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

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

y^'=y(7(t^2-1))/(t(t-3)(t-4)),y(7)=3

y^{^{'}} = y \frac{7 ( t ^{2} - 1 )}{t ( t - 3 ) ( t - 4 )}, y (7) = 3

y^'=25+y^2,y(0)=5tan(5x)

y^{^{'}} = 25 + y^{2}, y (0) = 5 tan (5 x)

(dy)/(dx)=(x^3y^3)/(x+3)

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

y^{^{'}} - 2 x y = 3 x