: Consider the following differential equation: y(x) + 3xy + y = 0 y(1)=0.5 h =...

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: Consider the following differential equation: y(x) + 3xy + y² = 0 y(1)=0.5 h = 0.1 Solve the differential equation to determine y(1.3) using: a. Euler Method b. Second order Taylor series method c. Second order Runge Kutta method d. Fourth order Runge-Kutta method e. Heun's predictor corrector method f. Midpoint method : Consider the following differential equation: y(x) + 3xy + y² = 0 y(1)=0.5 h = 0.1 Solve the differential equation to determine y(1.3) using: a. Euler Method b. Second order Taylor series method c. Second order Runge Kutta method d. Fourth order Runge-Kutta method e. Heun's predictor corrector method f. Midpoint method