Question

решите пожалуйста. ГДЕ m=11. n=9.

Answer 1

$y''+121y=9x+11\\1)quad y''+121y=0\\lambda ^2+121=0; ,; lambda _{1,2}=pm 11i\\y_{obshee; odnorodn.}=C_1cdot cos11x+C_2cdot sin11x\\2)quad Vid; chastnogo; reshtniya:; ; y_{ch.resh.}=Ax+B\\y'_{ch.resh.}=A\\y''_{ch.resh.}=0\\------------------------\\y''_{ch.resh.}+121y_{ch.redh.}}=0+121(Ax+B)=9x+11\\121Ax+121B=9x+11\\121A=9; ; to ; ; A=frac{9}{121}\\121B=11quad to ; ; ; B=frac{1}{11}\\y_{ch.resh.}=frac{9}{121}x+frac{1}{11}$

$3); ; ; y_{obsh.neodnor.}=C_1cdot cos11x+C_2cdot sin11x+frac{9}{121}x+frac{1}{11}$