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one hundred grams of cane sugar in water are being converted into dextrose at a

rate which is proportional to the amount unconverted find the differential equation expressing the rate of conversion after t minutes

rate which is proportional to the amount unconverted find the differential equation expressing the rate of conversion after t minutes

a particle of mass m falls freely under gravity in a liquid that offers a resistive force proportional to its velocity : fres= -gama dx/dt solve it.

10. The degree of differention Equation

(d^3y/dx^3)^2 +2 d^2y/dx^2 − dy/dx + x^2(dy/dx)^3 = 0 is _________

a. 2, b 1, c. 3, d. 4

(d^3y/dx^3)^2 +2 d^2y/dx^2 − dy/dx + x^2(dy/dx)^3 = 0 is _________

a. 2, b 1, c. 3, d. 4

NOU134362937: The order of differential equation

d^2y/dx^2+2 dy/dx d^3y/dx^3 + x=0 is __________

a. 1

b. 3

c. 4

d. 2

d^2y/dx^2+2 dy/dx d^3y/dx^3 + x=0 is __________

a. 1

b. 3

c. 4

d. 2

Find the value of

m

so that the function

y=e^mx

is a solution of the differential equation

y′+2y=0

a=0

b=3

c=1

d=2

m

so that the function

y=e^mx

is a solution of the differential equation

y′+2y=0

a=0

b=3

c=1

d=2

(D²+3DD'+2D') = cos (x+3y)

Show that the function z = Iog (x2 + y2) satisfies the equation d2z/dx2+ d2z/d y2 = 0

d^2y/dx^2+3(dy/dx)+ 2y=1+3x+x^2

(D²+3DD'+2D'²)z=12xy

(x+2)y"+xy'-y=0