1. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.
2. solve (x³ +y³ )dy +x² dx =0
3. Check whether the following statement is true or false. d²y/dx² + y² = 0 is non- linear equation.
4. Determine the number c that satisfies the Mean Value Theorem for Integral of the function f(x) = 4x + 2 on the interval [1,4].
5. The r.m.s. value of f(t) = t² across [1,4]