The image contains a mathematical problem written in German, asking for the special solution to a differential equation given an initial condition.

The text can be translated as follows:

• Translation:
  • "If your solution contains an (integration) constant, use the symbol $c$ for it."
  • "Now determine the specific solution for the initial condition $y(1) = 2$."
  • "The specific solution is given by $y_s(x) =$."

The task is to find the particular solution to a differential equation with the given initial condition $y(1) = 2$.

To proceed, I'd need the differential equation itself, which isn't fully visible in the image. Do you have the differential equation or any other details available that can help solve the problem?

If not, you can provide more details or confirm if I should proceed based on assumptions.

Would you like more details on how to solve such problems? Here are some relative questions:

1. What is the general form of the differential equation being solved?
2. How do you solve a differential equation with initial conditions?
3. What is the significance of the integration constant $c$ in differential equations?
4. Why is the initial condition $y(1) = 2$ important for finding the specific solution?
5. How can we verify the correctness of a specific solution?

Tip: When solving differential equations with initial conditions, it's essential to first find the general solution before applying the initial condition to determine the specific solution.