Math 3350 Sec. 6, Sample Test # 1, Name 1. Solve the separable ...

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4. Solve the exact equation (sinh(x) cos(y)) dx = cosh(x) sin(y) dy = 0 with

y(0) = 0.

5. Use the integrating factor F = 1

xy

to solve (2y + xy) dx +2xdy =0.

6. Find an integrating factor and use it to solve

(2y 2 +2y +4x 2 ) dx +(2xy + x) dy =0.

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4. Solve the exact equation (sinh(x) cos(y)) dx = cosh(x) sin(y) dy = 0 with y(0) = 0. 5. Use the integrating factor F = 1 xy to solve (2y + xy) dx +2xdy =0. 6. Find an integrating factor and use it to solve (2y 2 +2y +4x 2 ) dx +(2xy + x) dy =0.

7. Solve the first order linear initial value problem for y(x) 1 x y′ − 2 x2y = x cos(x) with y(π) =1. 8. Find the general solution of the Bernoulli equation y ′ = 2y x − x2 y 2 .

Page 1: Math 3350 Sec. 6, Sample Test # 1,

Math 3350 Sec. 6, Sample Test # 1, Name 1. Solve the separable ...

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