展开 y^{(4)}t-(λ+1)y'''(t)+λy''(t)

解答

展开

y^{(4)} t - (λ + 1) y^{'''} (t) + λ y^{''} (t)

y^{4} t - λ y''' (t) - y''' (t) + λ y'' (t)

求解步骤

y^{(4)} t - (λ + 1) y^{'''} (t) + λ y^{''} (t)

= t y^{(4)} - (λ + 1) y^{^{'''}} (t) + λ y^{^{''}} (t)

乘开

- y^{'''} (t) (λ + 1) : - λ y^{'''} (t) - y^{'''} (t)

= y^{(4)} t - λ y^{'''} (t) - y^{'''} (t) + λ y^{''} (t)

去除括号:

(a) = a

= t y^{4} - λ y^{^{'''}} (t) - y^{^{'''}} (t) + λ y^{^{''}} (t)

e x p an d 5 ((4, 0, - 8) - 8 (6, - 1, - 4))

e x p an d \frac{5 ( 3 + 3 )}{3}

e x p an d - 3 (27 π^{3} - 1)

e x p an d \frac{16}{( s ^{2} + 4 ) ^{2}}

e x p an d (x^{2} + 2 x + 3)^{7}