General solution or we can also say that complete solution method
to solve it.
Find the general solution of the differential equation: y' – 2y = e-5t Use lower case...
Find the general solution of the differential equation: y'−4y=te^−2t Use lower case c for the constant in your answer.
Find the general solution of the differential equation: dy/dt=(-y/t)+6. Use lower case c for constant in answer. y(t)=
Use the Method of Undetermined Coefficients to find the general solution for the differential equation: y"-2y'+2y= e^(x)sinx Answer should be: y= ce^(x)cosx+ce^(x)sinx-(x/2)e^(x)cosx
3. Find the general solution of the differential equation y” + 2y' + y = 0 (a) y=ce' +c,e* (b) y= ce" + xe * (c) y = cxe* +c,e* (d) y= ce* +C,xe" (e) y=ce?* +c,e-2 (f) y= c,e + ,xe” (g) y=cxe?* +cze 2 (h) y= c,e + ,xe 21
(5 points) Find the general solution to the differential equation y" – 2y + 17y=0. In your answer, use Cį and C2 to denote arbitrary constants and t the independent variable. Enter Cų as C1 and C2 as С2. y(t) = help (formulas) Find the unique solution that satisfies the initial conditions: y(0) = -1, y'(0) = 7. y(t) =
Find the general solution of the given differential equation. y" + 2y' + y = 14e-t
The general solution to the differential equation + 2y - 3 y +e-2 y 34 C cos 2 - Ce- y-3- Csin 2x
3- Find the general solution of the given differential equation 3-2) y'' −2y' +y = e^t /(1+t^2)
(c) (i) Find the general solution of the following partial differential equation y, = 2y sin x + e-x Whatische solution when the initial conditions are v(0,y)--y, and (ii) y(x, 0) = cos x ? (10 Marks)
dy Find the general solution of the differential equation: dt 2ty + 4e -ť. What is the integrating factor? u(t) = Use lower case c for the constant in answer below. y(t) =