Engineering Mathematics - Differential Equations

Consider the following differential equation $(1 + y) \frac{dy}{dx} = y$. The solution of the equation that satisfies the condition $y(1) = 1$ is

If $y$ is the solution of the differential equation $y^3 \frac{dy}{dx} + x^3 = 0$, $y(0)=1$, the value of $y(-1)$ is

Given the ordinary differential equation $\frac{d^2y}{dx^2} + \frac{dy}{dx} -6y=0$ with y(0) = 0 and $\frac{dy}{dx}(0) = 1$, the value of y(1) is ________ (correct to two decimal places).