Question

Solve htis using variation of parameters

Answer 1

\[x^2y'-xy'+y=2x\]

Answer 2

\[x^2y''-xy'+y=2x\]

Answer 3

\[x^m(m(m-1)-m+1=0\]

Answer 4

\[x^m(m^2-m-m+1)=0\]
\[m^2-2m+1=0\]
m=1 k=2

Answer 5

\[y_c=c_1x+c_2xln(x)\]

Answer 6

\[y''+p(x)y'+q(x)y=f(x)\]

Answer 7

\[y''-\frac{1}{x}y'+\frac{1}{x^2}y=\frac{2x}{x^2}\]

Answer 8

\[f(x)=\frac{2}{x}\]

Answer 9

\[W(y_1,y_2)=\]