Differential Equations Answers

Find the linear and Bernoulli’s differential equations from the following differential equations and solve it.

i)          (1 − 𝗑²) 𝑑𝑦 − 𝗑𝑦 = 1.

ii)         ^𝑑𝑦/dx = 𝗑𝑦² − 𝗑𝑦.

Solve by method of variation of parameters.

d^y/dx^2 + dy/dx + 1 = e^x

For an electric circuit with L=0.05 henry, R=20 ohms and C=100*10^-6 farad, the applied emf is 100 volts. Prove that the charge q at time 't' is given by q(t) =0.01-e^(-200t) [0.01 cos(400t) +0.02 sin(400t) ] if initially q=0 and i=0.

Find the order and degree of the following differential equation 2(d^2y/dx^2)-3*(dy/dx)+y=0

find the order and degree of the following differential equation (d^3*y/dx^3)^2-3*(d^2*y/dx^2)+4y=0

find the order and degree of the following differential equation d^3*y/dx^3+6*(d^2y/dx)+11*(dy/dx)+6y=0

Write a detail note on applications of Differential Equation

Applications of Partial Differential Equation

Applications of Non-Homogeneous Differential Equation

Applications of Ordinary Differential Equation