Differential Equations Answers

Solve the differential equation
xdy/dx +y = y^2Inx

The differential equation dy/dx=3y^2/3, y(0)=0 has a unique solution.
True or false with full explanation

The motion of a certain spring-mass system is governed by the differential equation d^2u/dt^2+1/8du/dt+u=0 where u is measured in metres and t in seconds. If u(0)=2 and (du/dt)t=0=0 determine the subsequent motion. Also determine the time at which the mass first passes through the equilibrium position.

Solusi dari persamaan sin xdx + ydy = 0; y(0)=-2

Solutions for y'= x²+y²/2xy

The area bounded by a curve, the x-axis, a fixed ordinate, and a variable ordinate is directly proportional
to the difference between the ordinates. Find the equation of the curve. Step by step and graph

Solve the following differential equation d^2y/dx^2 - 2dy/dx + 10y = 0,. Given Y(0) = 4. dy/dx (0) = 1

d²y/dx² +2 dy/dx+y=e^-t lnt

Find Particular solution of d²y/dx² -y=sinh2x

A car is travelling at 100 ft/sec when the driver suddenly applies the brakes. The position
function of the skidding car is