The general solution for the differential equation would be
y(x) = c1e-x + 0.5 ex
y = C, cosxt cz sinx o find?! los (6%) Find the general solution of the...
Find a differential equation such that y=e 2* (c, cos 4x+cz sin 4x) is the general solution of the equation.
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
Find the general solution to the differential equation dx sin χ xdy +3(y +x*) = sinx dx sin χ xdy +3(y +x*) = sinx
8. Find the solution to the differential equation y"+2y'+y=sinx using the method of undetermined coefficients. 1 COS X (a) y=ce' +ce' + -cosx 2 (b) y = ce' +cxe'+ (c) y = cxe' +cze cos x (d) y= c,e* + c xe" COSX 1 (e) y=ce' + ce + sinx 2 (f) y=ce' + exe* + sin x 2 (g) y=cxe' + e*- sinx 2 (h) y=ce' + cxe' 1 sinx 9. Use the method of undetermined coefficients to find...
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
6. 10 Pts Find the general solution of the given higher-order differential equation y (4) - 2y" - 8y = 0
Find the general solution of the given differential equation y(6) + y" =0 Find the general solution of the given differential equation y''' +3y" + 3y' + y = 0
6. Use the method of variation of parameters to find the general solution to the differential equation y" - 2y + y = x-le®
Find the general solution of the following differential equation: (1) ?′′ + 5?′ + 6? = 2????*?^? (2) ?′′ + 2?′ + ? = ? + ?e^(-t). (please solve Question No.7 only) 7. (30 points) Find the general solution of the following differential equation: (1) y" + 5y' + 6y = 2etsint (2) y" + 2y + y=t+te-t 8. (10 points) Use the method of variation of parameters to find a particular solution of y" + y = 1/sin (t),...
Find the general solution of the given differential equation. y" + 2y' + y = 14e-t