Differential Equations Answers

(D^2-3D+2)y=e^x/1+e^x

(D^2-3D+2)y= e^x/1+e^x

Find the maximum value of

x^2y^3z^4

subject to the condition

x+y+z=5

Find the extreme values of

x^4+y^4-2(x-y)^2

Let V(x) denote the number of litres of fuel left in an aircraft’s fuel tank if it has flown x km. Suppose that V(x) satisfies the following differential equation: V (x) = −aV(x) − b. Here, the fuel consumption per km is a constant b > 0. The term −aV(x), with a > 0, is due to the weight of the fuel) a) solve the equation with v(0)=vo b) how many km,x,can the plane fly if it takes off with vo litres in the tank

x^3y''' + 2x^2y'' = x + sin(lnx)

1. (2x+1)^2y''-2(2x+1)y'-12y=xlog(2x+1)
2. (x+2)^2y''-(x+2)y'+y=3x+4 these two r from legendres

Solve the differential equation

(x² + y²)dx-xydy = 0

{F} Solve the first order linear inhomogeneous differential equation using the Bernoulli method

y^,-(2y/x)=1+(1/x)