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Beliebt Rechnen >

y^'=-0.06sqrt(y)

Lösung

y^{^{'}} = - 0.06 y

Lösung

y = \frac{9 t ^{2}}{10000} - \frac{3 c _{1} t}{100} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

y^{'} (t) = - 0.06 y

Solve separable ODE:

y = \frac{9 t ^{2}}{10000} - \frac{3 c _{1} t}{100} + \frac{c _{1}^{2}}{4}

y = \frac{9 t ^{2}}{10000} - \frac{3 c _{1} t}{100} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

(dy)/(dx)=(x^2-1)/(y^2-1),y(2)=2

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

y^{^{'}} = 7 y, y (0) = 1

f(x)=x^5cos(x)f^'(x)

f (x) = x^{5} cos (x) f^{^{'}} (x)

q^'+1/50 q=0.2,q(0)=5

q^{^{'}} + \frac{1}{50} q = 0.2, q (0) = 5

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

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