Differential Equations

The degree and order respectively of the differential equation $\frac{d y}{d x}=\frac{1}{x+y+1}$ are

$y=2 \cos x+3 \sin x$ satisfies which of the following differential equations? $\frac{d^2 y}{d x^2}+y=0$ $\left(\frac{d y}{d x}\right)^2+\frac{d y}{d x}=0$ Select the correct answer using the code given below.

What is the solution of the differential equation $(d y-d x)$ $+\cos x(d y+d x)=0 ?$

Paragraph: Let $y d x+\left(x-y^3\right) d y=0$ be a differential equation. Question: What is the solution of the differential equation?

What is the order of the differential equation $\left(\frac{d y}{d x}\right)^2+\frac{d y}{d x}-\sin ^2 y=0 ?$

What is the curve which passes through the point $(1,1)$ and whose slope is $\frac{2 \mathrm{y}}{\mathrm{x}} ?$

What is the solution of the equation $\ln \left(\frac{d y}{d x}\right)+x=0 ?$ where $c$ is an arbitrary constant?

The order and degree of the differential equation of parabolas having vertex at the origin and focus at (a, 0) where $\mathrm{a} \gt 0$, are respectively?

What is the degree of the differential equation $\left(\dfrac{d^2y}{dx^2}\right)^{\frac{3}{2}} = \left(\dfrac{dy}{dx}\right)^{\frac{5}{2}}$?

What is the degree of the following differential equation? $x=\sqrt{1+\frac{d^2 y}{d x^2}}$

What are the order and degree respectively of the differential equation $\left\{2-\left(\frac{d y}{d x}\right)^2\right\}^{0.6}=\frac{d^2 y}{d x^2}$ ?

What is the solution of the differential equation $x d y-y d x=0 ?$