Differential Calculus, Differential Equations, Calculus, Mathematics, Physics.
example of an IVP Seperable To Solve the above: y’ is equal to 𝑑𝑦/𝑑𝑥 in this case so: 𝑑𝑦/𝑑𝑥=𝑦+1 Then we move the y+1 and 𝑑𝑥 around 𝑑𝑦 /(𝑦+1)=𝑑𝑥 Then Integrate both sides to get ln(𝑦+1)=𝑥+c Now to remove the ln we need to make each side the base of e^x hint: e^[ln(y+1)] is just y+1 𝑦+1 =𝑒^(𝑥+c) 𝑦=