Differential Equations Answers

Solve the equations by the use of the operator D

D²y -6Dy +9y= e^3x + e^-3x

Solve the equations by the use of the operator D

D²y -6Dy +9y= e^3x + e^-3x

Solve the equations by the use of the operator D

D²y -6Dy +9y= e^3x + e^-3x

Y"+4y=tg(2x)

The population N(t) of a species of micro-organism in a laboratory setting at any time t is established to vary under the influence of a certain chemical at a rate given by dN/dt=t-2e^t show that N(t)=t-2e^t+c.hence if N(0)=400 determine the population when t=5

1.sketch the gradient field for the differential equation dy/dt=t-y² for t=-1......,1

y=-1,.......,1

2.The yield y(t) (in bushes)per acre of a corn crop satisfies the equation dy/dt+y=100+e^-t

if y(0)=0 find y at any time t

1.given the system express y as a function of t

1. 3dx/dt+2dy/dt-x+y=t-1
2. dx/dt+dy/dt-x=t+2

2.what do you understand by ordinary paint of the equation

a₀(x)d²y/dx²+a₁(x)dy/dx+a₂(x)y=0? hence using taylor series expansion find a series solution in powers of x for the equation(2x³-3)d²y/dx²-2xdy/dx+y=0 y(0)=-1

y¹(0)=5

sketch the gradient field for the differential equation dy/dt=t-y² for t=-1......,1

y=-1,.......,1

what do you understand by ordinary paint of the equation

a₀(x)d²y/dx²+a₁(x)dy/dx+a₂(x)y=0? hence using taylor series expansion find a series solution in powers of x for the equation(2x³-3)d²y/dx²-2xdy/dx+y=0 y(0)=-1

y¹(0)=5

given the system express y as a function of t

1. 3dx/dt+2dy/dt-x+y=t-1
2. dx/dt+dy/dt-x=t+2