use-eulers-method-with-step-size-x01delta-x01-to-estimate-the-value-of-the-solut

Question

Use Euler's method with step size Δx=0.1\Delta x=0.1 to estimate the value of the solution at x=0.5x=0.5 for the IVP y′=$$y2+4y^{\prime}$$ =$$y^2+4$$, y(0)=0y(0)=0. Round Euler's approximation to 44 decimal places. Also, find the exact value y(0.5)y(0.5).

Accepted Answer

y(0.5)≈2.5883y(0.5)\approx{2.5883}y(0.5)=2tan⁡1y(0.5)=2	an{1}

Answer

y(0.5)≈2.1263y\left(0.5ight)\approx2.1263y(0.5)=2tan⁡1y(0.5)=2	an{1}

Answer

y(0.5)≈2.5883y(0.5)\approx{2.5883}y(0.5)=4sin⁡12y(0.5)=4\sin{\frac12}

Answer

y(0.5)≈2.1263y\left(0.5\right)\approx2.1263y(0.5)=4sin⁡12y(0.5)=4\sin{\frac12}

Use Euler's method with step size Δx=0.1\(\Delta\) x=0.1 to estimate the value of the solution at x=0.5x=0.5 for the IVP y′=y2+4y^{\(\prime\)} =y^2+4, y(0)=0y(0)=0. Round Euler's approximation to 44 decimal places. Also, find the exact value y(0.5)y(0.5).

Use Euler's method with step size $triangle x equals 0.1$ to estimate the value of the solution at $x equals 0.5$ for the IVP $y^{'} = y^{2} + 4$ , $y of 0 equals 0$ . Round Euler's approximation to $4$ decimal places. Also, find the exact value $y of 0.5$ .