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Solve y+px=p²x⁴


Solve the differential equation given by

(3x + 2y + y^2)dx + (x+4xy+5y^2)dy=0


. Solve the following homogeneous differential equation: (x + 2y)dx − xdy = 0


Solve the following homogeneous differential equation 2x3 y' = y(2x2 − y2


Solve the following differential equation.
(3x +2y +y2)dx+(x+4xy+5y2)dy = 0.
Help please

(4𝑒^−𝑦 𝑠𝑖𝑛 𝑥 − 1) 𝑑𝑥 − 𝑑𝑦 = 0



8, Consider a pendulum bob of length 10cm hung from a ceiling. What should we do to the length in order to vary the period by 2?


z(x+y)p-z(x-y)q=x²+y²


1. Form the partial differential equation by eliminating
the arbitrary constants a and b from z=ax+by.
2. Form the partial differential equation by eliminating
the arbitrary constants a and b from z=ax

Solve the following initial value problem


Ut(x,t)=10Uxx(x,t) -1<x<1, t>0

U(-1,t)=U(1,t) Ux(-1,t)=Ux(1,t) t>0

Ux(x,0)=x+1 -1<x<1