how i can solve this system by fsolve with yn(0)=1;y'n(0)=0; yn''(0)=-2​;yn'''(xn)​=3*sin(xn)

 D(yn)(xn)/5 + D(D(yn))(xn)/50 + yn(xn) + (586147810488533*15990^(1/2))/108311578912804377257312256000000000 + 27461879327689609105727346107/68769256452574207782420480000000
 D(yn)(xn)/5 + D(D(yn))(xn)/50 + yn(xn) + (528340452178682071*15990^(1/2))/57730071560524733078147432448000000000 + 143454592666422058818201963269/180519298188007295428853760000000
          D(yn)(xn)/5 + D(D(yn))(xn)/50 + yn(xn) + (2381161686257*15990^(1/2))/1002884989933373863493632000000000 + 426776802455039253290538365041/361038596376014590857707520000000
                              D(yn)(xn)/5 + D(D(yn))(xn)/50 + yn(xn) + (8215771*15990^(1/2))/1148760952607342592000000000 + 32972573102764870520578699/21167835153377966161920000000
    D(yn)(xn)/5 + D(D(yn))(xn)/50 + yn(xn) - (3393219180706751*15990^(1/2))/1069075399268976538484211712000000000 + 230788164699301672833417333649/120346198792004863619235840000000
     D(yn)(xn)/5 + D(D(yn))(xn)/50 + yn(xn) + (7705506604310153*15990^(1/2))/343631378336456744512782336000000000 + 271810301398432824092967213107/120346198792004863619235840000000
          D(yn)(xn)/5 + D(D(yn))(xn)/50 + yn(xn) + (16908405578497*15990^(1/2))/3384736841025136789291008000000000 + 232587449560898093942167691267/90259649094003647714426880000000
       D(yn)(xn)/5 + D(D(yn))(xn)/50 + yn(xn) - (780571357511568799*15990^(1/2))/28865035780262366539073716224000000000 + 299847451415512050307559269/104497422974244454662144000000
        D(yn)(xn)/5 + D(D(yn))(xn)/50 + yn(xn) - (68831882376203*15990^(1/2))/13538947364100547157164032000000000 + 565622495910936521442979985207/180519298188007295428853760000000