1) Solve the following differential equation

My steps

-I rearranged the formula and got

-But Don't know if this is right or how to even take the integral of both sides.

2)A particle moving along the x-axis encounters a resisting force that results in an acceleration of . Given that x=0 cm and v=35 cm/s at t=0.Find the velocity and the position function for t as a function of t for t is greater than or equal to 0.

My Steps

Is this irhgt. This doesn't seem right.

Thanks for the help in advance.