Originally Posted by

**anderson** Hi everyone

Need help to verify my answers for this question.Thank you in advance for all kind help & support.

Determine the type of the following differential equations including the ordinary or partial differential equations,order,linearity & homogeneity.

a)$\displaystyle \frac{dy}{dx}-4y=0$

Linear, First order, Homogenous.

b) $\displaystyle \frac{dy}{dt}+\frac{dx}{dt}=0$

Partial differential equation.

c) $\displaystyle \frac{d^2y}{dt^2}-3\frac{dy}{dt}+7y=0$

Linear, 2nd order, homogenous.

d)$\displaystyle (\frac{dy}{dt})^2+3y=0$

Non-linear,First order, 2nd degree

e) $\displaystyle \frac{d^2x}{dt}+2\frac{dx}{dt}+7x=sint$

Linear,2nd order, Non-homogenous

Thank you in advance for all help & support.