Please help. Solve dx/dt + y = sint , x(0)=2 dy/dt + x = cost , y(0)=0 this is one problem that comes in my laplace transform chapter. Any method can be used
Last edited by mr fantastic; Nov 26th 2010 at 10:18 PM. Reason: Re-titled.
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From DE 1: . Substituting into DE 2: . Now, the characteristic equation is . So the solution to the homogeneous equation is . Follow a similar process to find .
Originally Posted by Prove It From DE 1: . Substituting into DE 2: . Now, the characteristic equation is . So the solution to the homogeneous equation is . Follow a similar process to find . But if we do like this , we may not be able to make use of the condition given in the question. Can i ?. Please respond. Thank you
Originally Posted by rafi98 But if we do like this , we may not be able to make use of the condition given in the question. Can i ?. Please respond. Thank you Find first, see what you get.
What is small letter a and b . And i dont know the formula of your second reply.
Originally Posted by rafi98 Please help. Solve dx/dt + y = sint , x(0)=2 dy/dt + x = cost , y(0)=0 this is one problem that comes in my laplace transform chapter. Any method can be used From the second DE . Substitute into the first DE and solve for .
Originally Posted by rafi98 Please help. Solve dx/dt + y = sint , x(0)=2 dy/dt + x = cost , y(0)=0 this is one problem that comes in my laplace transform chapter. Any method can be used apply the Laplace Transform and get and the rest is algebra and a matter of finding inverse transforms.