Use the Heun's method to solve the following 1 order ODE IVP dy dx 0 assuming...

 

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Use the Heun's method to solve the following 1" order ODE IVP dy dx 0 assuming y(0) = 1. Solve the IVP from x = 0 to x = 1 using a step size of 0.5. Write out the general form of the method. Place your solution to this problem (including any relevant intermediate results) in the table. 2 = X₁ -2y+x²e-²x dyi dx Y₁ Use the Heun's method to solve the following 1" order ODE IVP dy dx 0 assuming y(0) = 1. Solve the IVP from x = 0 to x = 1 using a step size of 0.5. Write out the general form of the method. Place your solution to this problem (including any relevant intermediate results) in the table. 2 = X₁ -2y+x²e-²x dyi dx Y₁ Use the Heun's method to solve the following 1" order ODE IVP dy dx 0 assuming y(0) = 1. Solve the IVP from x = 0 to x = 1 using a step size of 0.5. Write out the general form of the method. Place your solution to this problem (including any relevant intermediate results) in the table. 2 = X₁ -2y+x²e-²x dyi dx Y₁