MathCastle
Differential EquationsHardSecond-Order Linear Equations

Second-Order Linear Equations · Hard problem

Two solutions of y′′+4y=0y''+4y=0 satisfy y1(0)=1,y1′(0)=0y_1(0)=1,y_1'(0)=0 and y2(0)=0,y2′(0)=2y_2(0)=0,y_2'(0)=2. Find the first positive time tt at which y1(t)=y2(t)y_1(t)=y_2(t).