<span>10*(3L-2)-(45L+18):3+(11-L)*5=25
30L-20-15L-6+55-5L=25
10L=-4
L=-2/5</span>
Log 3 ( 3^4)- 1 + lg( 10^3)= 4-1+3=6
<span>y" − 2y′+ 10y = 0
линейное однородное ДУ 2 порядка
</span>
<span>k^2− 2k+ 10 = 0
d=4-40=-36
k1=1+3i
k2=1-3i
</span>y(x)=e^x*(С1*sin(3*x)+С2*cos(3*x))
y(0)=e^0*(С1*sin(0)+С2*cos(0))=1*(С1*0+С2*1)=C2=3
y(x)=e^x*(C1*sin(3*x)+3*cos(3*x))
y`(x)=e^x*(C1*sin(3*x)+3*cos(3*x))+e^x*(3*C1*cos(3*x)-9*sin(3*x))
y`(0)=e^0*(C1*sin(3*0)+3*cos(3*0))+e^0*(3*C1*cos(3*0)-9*sin(3*0))
y`(0)=3+3*C1=0
C1=-1
y(x)=e^x*(-sin(3*x)+3*cos(3*x))