Первое задание КР

Çàäàíèå 1Íàéòè íîðìàëüíóþ ôîðìó ñèñòåìû äèôôåðåíöèàëüíûõ óðàâíåíèé èíîðìàëèçóþùóþ çàìåíó ïåðåìåííûõ.Âàðèàíò 1.ẋ1 = −3x1 + 3x1 x2 + x1 x22 + x42ẋ2 = −2x2 + x1 x2 − x21 x2 + x41 + x1 x32Âàðèàíò 2.ẋ1 = ix1 + i(2x21 + 5x21 x2 + 4x21 x22 )ẋ2 = −ix2 − i(2x22 + 5x1 x22 + 4x21 x22 )Âàðèàíò 3.ẋ1 = x2 + x21 x2 + 3x1 x32ẋ2 = −x1 + 7x22 + 4x41Âàðèàíò 4.ẋ1 = −x1 + x1 x2 + 4x32 + 3x21 x22ẋ2 = −2x2 + 3x21 + 5x1 x32 − 6x42Âàðèàíò 5.ẋ1 = 2ix1 + i(x1 x2 + 3x31 + 5x21 x22 )ẋ2 = −2ix2 + i(x1 x2 + 3x32 + 5x21 x22 )Âàðèàíò 6.ẋ1 = 2x2 + 2x22 + x32ẋ2 = −2x1 + 3x1 x2 − 4x1 x32Âàðèàíò 7.ẋ1 = −2x1 + 7x22 − 5x21 x2 + 4x42ẋ2 = −4x2 − x1 x2 + 3x32 + 3x1 x321Âàðèàíò 8.ẋ1 = 3ix1 − i(x1 x2 − 4x31 + 3x21 x22 )ẋ2 = −3ix2 + i(2x21 + 5x1 x22 − x41 )Âàðèàíò 9.ẋ1 = x2 + x21 + 3x41ẋ2 = −4x1 + 2x31 + 7x21 x22Âàðèàíò 10.ẋ1 = −2x1 + 4x22 + 5x1 x22 − x31 x2ẋ2 = −x2 − 2x1 x2 + 4x31 + 3x42Âàðèàíò 11.ẋ1 = ix1 + i(3x22 + 7x21 x2 − x1 x32 )ẋ2 = −ix2 − i(3x21 + 7x1 x22 − x31 x2 )Âàðèàíò 12.ẋ1 = 4x2 + 2x1 x2 + 3x31 − 4x21 x22ẋ2 = −x1 + 3x21 + 4x32 + 5x41Âàðèàíò 13.ẋ1 = −2x1 + 4x1 x2 + x32 + 2x31 x2ẋ2 = −6x2 − x21 − 2x1 x22 + 3x42Âàðèàíò 14.ẋ1 = ix1 + i(−2x1 x2 + 5x21 x2 + 6x31 x2 )ẋ2 = −ix2 − i(−2x1 x2 + 5x21 x2 + 6x1 x32 )Âàðèàíò 15.ẋ1 = x2 + 4x21 + 3x41ẋ2 = −x1 + 4x21 x2 + 2x1 x322Âàðèàíò 16.ẋ1 = −2x1 + 2x21 + 3x1 x22 − x1 x32ẋ2 = −4x2 + x1 x2 + 3x21 x2 − 2x42Âàðèàíò 17.ẋ1 = 2ix1 + i(3x1 x2 + 2x31 − 3x42 )ẋ2 = −2ix2 − i(3x1 x2 + 2x32 − 3x41 )Âàðèàíò 18.ẋ1 = 2x2 + 2x21 x2 + 3x21 x22ẋ2 = −2x1 + 2x21 − 4x42Âàðèàíò 19.ẋ1 = −3x1 + 2x21 − 3x21 x2 + 4x41ẋ2 = −6x2 − 3x1 x2 + x31 − 2x21 x22Âàðèàíò 20.ẋ1 = 3ix1 + i(4x21 − 3x21 x2 + x41 )ẋ2 = −3ix2 − i(4x22 − 3x1 x22 + x42 )Âàðèàíò 21.ẋ1 = 3x2 − 2x1 x2 + 3x42ẋ2 = −3x1 + x32 + 4x21 x223.