3y^'+sqrt(x)y=5sqrt(x),y(9)=4

Lösung

3 y^{^{'}} + x y = 5 x, y (9) = 4

y = 5 - e^{\frac{54 - 2 x ^{\frac{3}{2}}}{9}}

Schritte zur Lösung

3 y^{'} (x) + x y = 5 x

Solve linear ODE:

y = 5 - e^{\frac{54 - 2 x ^{\frac{3}{2}}}{9}}

y = 5 - e^{\frac{54 - 2 x ^{\frac{3}{2}}}{9}}

3 e^{4 x} y^{^{'}} = - 16 \frac{x}{y ^{2}}, y (0) = 1

\frac{\partial}{\partial y} (\frac{y ^{4}}{x})

\frac{d}{d s} (s + t)

x \to \infty lim (538 \cdot x)

x \to - 6 - lim (\frac{1}{( x + 6 ) ^{4}})