Question

Solve the general solution of dy/dx =ex + x + sinx

Answer 1

Answer on Question #79217 – Math – Differential Equations

Question

Solve the general solution of

$$\frac{dy}{dx} = e^x + x + \sin x$$

Solution

$$dy = (e^x + x + \sin x)dx$$

Integrate

$$\int dy = \int (e^x + x + \sin x)dx$$ $$y = e^x + \frac{1}{2}x^2 - \cos x + \text{const}$$

Answer: $y = e^x + \frac{1}{2}x^2 - \cos x + \text{const}$

Answer provided by https://www.AssignmentExpert.com