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Find the differential equation whose general solution is given by




y = c1e



4x + c2e



x + x



2

Solve (D^3-6D^2D'+12DD'^2-8D'3)z=e^2x+y

verify the function u(x,y)=e^xsiny is one of the solution of uxx+uyy=0



Solve the exact differential equation = ( x - 2ey ) dy + y + ( xsin(x) ) dx = 0


Solve the differential equation = x dy / dx + 2y = x4

( x - 2ey ) dy + y + ( xsin(x) ) dx=0


Formulate the differential equation representing the relationship of current (i), voltage (v), inductance(L) and time t.


How do you solve the partial differential equation (3D^² +10DD^1+3D ^1^2) z = e^x-y?


Solve the differential equation (D^3+D^2+D+1)y=Sinx

Solve the initial value problem





y"-3y'-10y=0, y'(0)=1, y'(0)=2

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