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sketch the gradient field for the differential equation dy/dt=t-y2Β 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
- 3dx/dt+2dy/dt-x+y=t-1
- dx/dt+dy/dt-x=t+2
Use reduction of order, to find a second solution π¦2(t) of the given differential equation, while π¦1(t) is its first solution π‘π¦ β²β² β π¦ β² + 4π¦π‘3 = 0 , π‘ > 0 , π¦1 (π‘) = πππ(π‘ 2 ) . Is these solutions π¦1(π‘) and π¦2(π‘) are independent?
1.d2y/dx2-2dy/dx+5y=extan2x
2.dy/dx+3y=3x2e-3x
(x^2+x-y^2)dx+xydy=0 ?
Find CF if (D+DΒΉ-2) (D+2DΒΉ-2)2 = 0
P^3x+p^2y-p^2x-py=0, where p=dy/dx
given the system express y as a function of t
- 3dx/dt+2dy/dt-x+y=t-1
- dx/dt+dy/dt-x=t+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
