engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Differential Equations First Order Equations
Consider the differential equation \(\frac{{dy}}{{dx}} + 10y = f\left( x \right),x > 0\), where f(x) is continuous function such that \(\mathop {\lim }\limits_{x \to \infty } f\left( x \right) = 1\). Then the value of \(\mathop {\lim }\limits_{x \to \infty } y\left( x \right)\) is ________.
Enter numerical value using the virtual keypad. Round off where necessary.