Consider the Solution with Y(0)= 0 to the Differential Equation $\frac{d y}{d x}=\frac{7}{1+x^{2}}$

question 107

Multiple Choice

Consider the solution with y(0) = 0 to the differential equation $\frac{d y}{d x}=\frac{7}{1+x^{2}}$ .If you use Euler's method with 1 million steps to approximate the exact value of $y ( 1 )$ , will your approximation be an over- or underestimate?

• A)An overestimate
• B)An underestimate