Euler`s method

 $\frac{dy}{dx}=x-y$  and  $f(3)=1$  Use Euler’s method with two steps of equal size to approximate  $f(6)$  

 $\frac{dy}{dx}=2x+y$  and  $y(1)=k$  Using Euler’s method, starting at  $x=1$   with a step-size of 0.5, gives the approximation  $y(1.5)\approx4$  . Find k.

 $\frac{dy}{dx}=x-2y+2$  and  $f(0)=2$  Use Euler’s method with two steps of equal size to approximate  $f(2.4)$  

Tags

CCSS.8.EE.C.8B

 $\frac{dy}{dx}=2x-2y+3$  and  $y(3)=k$  Using Euler’s method, starting at x=3 with a step-size of 1, gives the approximation  $y(4)\approx-6$  Find k.

 $\frac{dy}{dx}=x+y+1$  and  $f(2)=-1$  Use Euler’s method with two steps of equal size to approximate  $f(2.6)$  

 $\frac{dy}{dx}=3x-2y$  and  $y(0)=k$  Using Euler’s method, starting at x=0 with a step-size of 1, gives the approximation  $y(2)\approx4.5$  Find k.

 $\frac{dy}{dx}=x-y-2$  and  $f(-1)=3$  Use Euler’s method with three steps of equal size to approximate  $f(2)$ .

 $\frac{dy}{dx}=x+2y-1$  and  $y(-1)=k$  Using Euler’s method, starting at x=−1 with a step-size of 1, gives the approximation  $y(1)\approx11$  

Tags

CCSS.8.EE.C.8B

 $\frac{dy}{dx}=x+y$  and  $f(1)=2$  Use Euler’s method with two steps of equal size to approximate  $f(3)$  

 $\frac{dy}{dx}=3x+2y+1$  and  $y(0)=k$  Using Euler’s method, starting at x=0 with a step-size of 2, gives the approximation  $y(2)\approx1$