Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- The solution of a certain differential equation is of the form y(t) = a exp(3t) + bexp(8t), where a and b are constants. The solution has initial conditions y(0) = 5 and y'(0) = 5. Find the solution by using the initial conditions to get linear equations for a and b. y(t)arrow_forwardThe differential equation has an implicit general solution of the form F(x, y) dy dx F(x, y) = G(x) + H(y) = cos(x) 3² + 15y +54 4y + 27 = K, where K is an arbitrary constant. In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form F(x, y) = G(x) + H(y) = K. Find such a solution and then give the related functions requested.arrow_forwardThe particular solution of the differential equation y +y- 2y = sin3x is: y(x)=Cje3*+Ce-3x y(x)=Cje2x+cos 3x O y(x)=3C,cosx+3C2sinx o y(x) =C1cos3x+C2sin3xarrow_forward
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