Reference no: EM13152485
Q.1 Solve the following second order differential equations:
(a) xy' = 2y' ; (b) y" + e2yy'3 =0.
Q.2 Solve the following differential equation:
y" + 10y' + 25y =0.
Q.3. Solve the following initial value problem.
2y' + y' - y = 0, y(4) = e2 - e-4 =7.371, y'(4) = 1/2e2 + e-4 = 3.713.
Q.4. Solve the following boundary value problem:
y" - 2y' = 0, y(0) = -1, y(1/2) = e-2
Q.5 Find a general solution of the following differential equation:
y" + 6y' + 9y = 18cos3x.
Q.6. Find a general solution of the following nonhomogeneous Euler-Cauchy equation:
x2y" - 4xy' + 6y = 42/x4.
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