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Differential Equations
(D2+7DD'+12D'2)z=sinhx
Differential Equations
y2 dx — x(2x + 3y)dy = 0
Differential Equations
Find the general solution of y"-y'-2y=4x2
Differential Equations
Find dy/dx and simply the result, if possible.(with solution)
A. y=√x -(1/√x)
B. y=x^2+π^2+x^π
C. y=(sin x-1)/(cos x)
D. y=x^2 sec x
E. y=(1)/(e^× +2)
Differential Equations
Determine ‘a’ and ‘b’ as to make the cylinder y2= 4ax orthogonal to the ellipsoid at the point (1, 2, 1).
Find the directional derivative of f(x,y)=2x^2+y^2 at the point (-2,3) in the direction of u ⃗=4i ̂-5j ̂.
Show that the function f(x,y)=e^x siny+e^y cosx satisfies the Laplace’s equation
Find the directional derivative of f(x,y)=2x^2+y^2 at the point (-2,3) in the direction of u ⃗=4i ̂-5j ̂.
Show that the function f(x,y)=e^x siny+e^y cosx satisfies the Laplace’s equation
Differential Equations
Solve IBVP
∂u/∂t (x,t)=2 (∂^2 u)/(∂x^2 )+x+2,0<x<1,t>0
u(x,0)=x+2,0<x<1,u(0,t)=2,u(2,t)=-2
Differential Equations
(𝒚 𝟐 + 𝒙𝒚𝟑 ) 𝒅𝒙 + (𝟓𝒚 𝟐 − 𝒙𝒚 + 𝒚 𝟐 𝐬𝐢𝐧 𝒚) 𝒅𝒚 = 𝟎
Differential Equations
find the general solution of the differential equation x dy/dx + 4y =x^3
Differential Equations
(Y2+z2-x2)p-2xyq+2xz=0
Differential Equations
xdy-ydx=x(x^2-y^2)^1/2
