a)
Let y be the solution of the equation
y ′ − [(3x^2*y)/(1+x^3)]=1+x^3 satisfying the condition y ( 0 ) = 1.
Find y ( 1 ).
b)
Let y be the solution of the equation y ′ = 4 − 2 x y
satisfying the condition y ( 0 ) = 0.
Use Euler's method with the horizontal step size h = 1/2
to find an approximation to the value of the function
y at x = 1.
c)
Let y be the solution of the equation y ′ = 4 x + y^2
satisfying the condition y ( 0 ) = 0.
Use Euler's method with the horizontal step size h = 1/2
to find an approximation to the value of the function
y at x = 1.
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