Differential Equations Answers

The differential equation (DE) of y'' + (5^3 + sinx)^5 y' + y = cosx^3 is?

Express 2/y²-1 in partial fractions. Hence solve the differential equation 2xdy/dx +1 = y² given that y= -3 when x= 1, expressing y explicitly in terms of x.

What is the value of y(π

2

)

y(π2) where y

′′

−2y

′

+y=xe

x

sinx

y″−2y′+y=xexsin⁡x ; y(0)=0

y(0)=0 and y

′

(0)=1

y′(0)=1 ?

The integral curves of "\\frac {dx}{a} = \\frac {dy}{b} = dz" is

The integral curves of dx/a = dy/b = dz is

((x^2) + 2)y′′ + xy' − 3y = 0

Solve the differential equation of the following homogeneous equation.

xydx + (x^2 + y^2)dy = 0

Find the integral surface of 𝑥²𝑝 + 𝑦²𝑞 + 𝑧² = 0 which passes through the curve x+y = xy, 𝑧= 1.