在matlab中如何用laplace变换求解微分方程u''(t)-u=exp(t),y(0)=0,y'(0)=0

用Laplace变换的话可以手动解出来,用不着Matlab

>> dsolve('D2u-u=exp(t),Du(0)=0,u(0)=0')
ans =exp(-t)/4 - exp(t)/4 + (t*exp(t))/2