MathCastle
Differential EquationsMediumThe Wronskian & Variation of Parameters

The Wronskian & Variation of Parameters · Medium problem

The Euler equation t2y′′−3ty′+4y=0t^2y''-3ty'+4y=0 (t>0t>0) has the repeated-root solution y1=t2y_1=t^2; reduction of order gives a second solution y2=t2ln⁡ty_2=t^2\ln t. Find the Wronskian W(y1,y2)W(y_1,y_2) at the value of tt (other than t=0t=0) where y2y_2 itself is zero.