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Differential Equations
y"+(y') ^2=2e^-y find the general solution
Differential Equations
y"+2y'+y=3e^-x√x+1 find the general solution
Differential Equations
Find the eigenvalues and eigenfunctions of
𝑦
′′ +
𝑦 = 0 , 0 < 𝑥 < 3
𝑦′(0) = 0 , 𝑦′(3) = 0
Differential Equations
An object which is released from a hot-air balloon at a height experiences a force of air resistance which is directly proportional to the velocity, v , after t seconds satisfies the differential equation dv/dt + 0.25v = 10, where v is in meter per second and t is seconds. Assuming that the initial velocity of the object is 0, find v in terms of t.
Differential Equations
Q\Determine the following ODEs are exact or not? Why?
((y)dx+(x)dy/(x+y)^2)+dy=0
((y)dx+(x)dy/(x+y)^2)+dy=0
Differential Equations
Q\Determine the following ODEs are exact or not? Why?
(y+cosx)dx+(x+siny)dy=0
(y+cosx)dx+(x+siny)dy=0
Differential Equations
Q\Determine the following ODEs are exact or not? Why?
(x/2)(cosy)y´=-1
(x/2)(cosy)y´=-1
Differential Equations
Q\Determine the following ODEs are exact or not? Why?
(y^3)dx+3x^3y^2dy=0
(y^3)dx+3x^3y^2dy=0
Differential Equations
Q\Determine the following ODEs are exact or not? Why?
(2xy)dx+2y^2dy=0
(2xy)dx+2y^2dy=0
Differential Equations
(2y^2-4x+5)dx+(4-2y+4xy)dy=0
For exactness, and solve it if it is exact.
For exactness, and solve it if it is exact.
