For a differential equation $\dfrac{dy}{dx} = g(x)$, Euler's method is applied with step size $0.5$ starting at $(1,1)$. If $g(1) = 2$ and $g(1.5) = 3$, what is the approximation of $f(2)$?

Question

Accepted Answer

A. $3.5$

Answer

$3.5$

Answer

$3$

Answer

$4$

Answer

$2.5$

For a differential equation $\dfrac{dy}{dx} = g(x)$ , Euler's method is applied with step size $0.5$ starting at $(1,1)$ . If $g(1) = 2$ and $g(1.5) = 3$ , what is the approximation of $f(2)$ ?

Explanation

Core Concept

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More Unit 7: Differential Equations practice questions

For a differential equation dydx=g(x)\dfrac{dy}{dx} = g(x)dxdy​=g(x), Euler's method is applied with step size 0.50.50.5 starting at (1,1)(1,1)(1,1). If g(1)=2g(1) = 2g(1)=2 and g(1.5)=3g(1.5) = 3g(1.5)=3, what is the approximation of f(2)f(2)f(2)?

Explanation

Core Concept

Correct Answer

More Unit 7: Differential Equations practice questions

For a differential equation $\dfrac{dy}{dx} = g(x)$ , Euler's method is applied with step size $0.5$ starting at $(1,1)$ . If $g(1) = 2$ and $g(1.5) = 3$ , what is the approximation of $f(2)$ ?