differential equations

Please solve the differential equation below. Please show all steps in the solution. √x dy/dx= e^(y+√x)

differential equations

Please solve the differential equation below. Please show all steps in the solution. 2 dy/dx - y = e^(x/2)

linear first order differential equation

Please solve the differential equation below. Please show each step. Thank you. e^(2x)y' + 2e^(2x)y = 2x

linear first order differential equation

Please help me solve this equation. I worked it out but am not sure of my answer or if I can simplify it. I used the four step method of solving a linear first order equation, so if you could solve it in the same manner, it would be appreciated. Thank you. (t+1)ds/dt +2s=3(t+1) + 1/(t+1)^2

first order differential equations

Please solve the following differential equation, showing all steps and substitutions. Thank you. tanθdr/dθ + r = sin²θ