# Solve the differential equation #y dy/dx-y^2+9x=0# ?

Think that

By signing up, you agree to our Terms of Service and Privacy Policy

To solve the differential equation y(dy/dx) - y^2 + 9x = 0:

- Recognize it as a first-order nonlinear ordinary differential equation.
- Separate variables by moving all terms involving y to one side and terms involving x to the other side.
- Integrate both sides with respect to their respective variables.
- Solve for y to find the general solution.
- If an initial condition is given, use it to find the particular solution.

If you have any further questions or need assistance with any step, feel free to ask.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the arc length of #f(x)= sqrt(x^3+5) # on #x in [0,2]#?
- How do you find the average value of the function for #f(x)=1-x^4, -1<=x<=1#?
- Solve the differential equation #dy/dx = 5x sqrt(y)# where y!=0?
- How do you find the area of the surface generated by rotating the curve about the x-axis #x=t^2+t, y=2t+1, 0<=t<=1#?
- How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=e^x#, x=0, and y=pi revolved about the x-axis?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7