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## Homework Statement

I have the following 2 equations dx/dt = 3x+y and dy/dt = sqrt(y)

I need to find the general solution to the system.

## Homework Equations

dx/dt = 3x+y and dy/dt = sqrt(y)

## The Attempt at a Solution

i did the y equation first using separation of variables and got

2sqrt(y) = t+c

so... y = (2t+A)^2 where A = 2c

then i plugged this into the 2nd equation for y so i have dx/dt = 3x + (2t+2t)^2

i'm not sure how to solve this. I tried using method of undetermined coefficients but i keep getting stuck. Can someone please show me step by step how to solve this? Thank you