(dy)/(dx)+(4/(76+3x))y=4.2

Lösung

\frac{d y}{d x} + (\frac{4}{76 + 3 x}) y = 4.2

y = \frac{4.2 ( x ( 76 + 3 x ) ^{\frac{4}{3}} - 0.19047 \dots ( ( 3 x + 76 ) ^{\frac{7}{3}} - 133 ( 3 x + 76 ) ^{\frac{4}{3}} ) )}{( 76 + 3 x ) ^{\frac{4}{3}}} + \frac{c _{1}}{( 76 + 3 x ) ^{\frac{4}{3}}}

Schritte zur Lösung

\frac{d y}{d x} + (\frac{4}{76 + 3 x}) y = 4.2

Solve linear ODE:

y = \frac{4.2 ( x ( 76 + 3 x ) ^{\frac{4}{3}} - 0.19047 \dots ( ( 3 x + 76 ) ^{\frac{7}{3}} - 133 ( 3 x + 76 ) ^{\frac{4}{3}} ) )}{( 76 + 3 x ) ^{\frac{4}{3}}} + \frac{c _{1}}{( 76 + 3 x ) ^{\frac{4}{3}}}

y = \frac{4.2 ( x ( 76 + 3 x ) ^{\frac{4}{3}} - 0.19047 \dots ( ( 3 x + 76 ) ^{\frac{7}{3}} - 133 ( 3 x + 76 ) ^{\frac{4}{3}} ) )}{( 76 + 3 x ) ^{\frac{4}{3}}} + \frac{c _{1}}{( 76 + 3 x ) ^{\frac{4}{3}}}

\frac{d}{d x} (7 x - 2)

\frac{d}{d t} (4 sin (t))

y^{^{''}} + 11 y^{^{'}} + 18 y = 0, y (0) = 1, y^{^{'}} (0) = 0

\frac{d}{d x} (6 x^{2} + 6 x - 36)

(x^{\frac{1}{2}})^{^{'}}