y^'+sin(x)y=5sin(x)

Lösung

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

y = e^{c o s (x) + c_{1}} + 5

Schritte zur Lösung

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

Solve separable ODE:

y = e^{c o s (x) + c_{1}} + 5

y = e^{c o s (x) + c_{1}} + 5

y^{^{'}} = 3 x + e^{x}

y^{^{'}} y e^{- x} = 0

f^{^{''}} (x) = 3 x + 1

2 y^{^{'''}} = e^{x} y^{^{'''}}

f^{^{'}} (x) = 4 x + 9