MathCastle
Differential EquationsMediumThe Wronskian & Variation of Parameters

The Wronskian & Variation of Parameters · Medium problem

Pair A solves y′′+2y′+5y=0y''+2y'+5y=0 with Wronskian WA(0)=4W_A(0)=4. Pair B solves y′′+6y′+13y=0y''+6y'+13y=0 with Wronskian WB(0)=4W_B(0)=4. Using Abel's formula for each, find WA(1)WB(1)\dfrac{W_A(1)}{W_B(1)}.