system of differential equations Archives

Solve system of initial value problems example 2

By SK Math Expert April 25, 2021ODEssystem of differential equations

Introduction: In this question, we explain how to solve system of initial value problems example is given in the following solution. Question: Solve system of initial value problems \[u^\prime=-0.2\left(v-2\right), u\left(0\right)=2…

Euler Method for system of differential equations example

By SK Math Expert February 10, 2021Advanced Math, ODEssystem of differential equations

Introduction : Euler Method for system of differential equations Question : Solution: \[\left(\begin{array}{c}y_1' \\y_2' \end{array}\right)=\left(\begin{array}{cc}-t^2 & t \\2-t & 0 \end{array}\right)\left(\begin{array}{c}y_1 \\y_2 \end{array}\right)+\left(\begin{array}{c}1\\t \end{array}\right)\] f(t,y_1,y_2 )=-t^2 y_1+ty_2+1 g(t,y_1,y_2 )=(2-t) y_1+0y_2+t…