MathProblemsBank

8.1.1.138 First order differential equations

Condition: Solve the Cauchy problem: 1) \( y^{\prime}=2 y+2, \quad y(0)=0 \) 2) \( 2 y y^{\prime}=y^{2}+1, \quad y(\ln 2)=1 \) 3) \( y^{\prime}=y-x+1, \quad y(0)=1 \)

-> First order differential equations