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1. What is the order and degree for the differential equation: () -() =-> A. Order: 4; Degree: 1 C. Order: 2; Degree: 1 B. Order: 1; Degree: 4 D. Order: 2; Degree: 2. Which of the following differential equations is NOT separable. A. ry'dy +xy'dx =0 B. 1=Not C. a Sexy=x D. = 3x + 2 3. Rewrite the equation = = Yun in the form g(y)dy = f(x)dx. y+1 A. y + 1dy = sinx dx B. _dy = sinxdx C. , dy = sinxax D. dy= sinxdx 4. Rewrite the equation n dy = Yeast in the form g(y)dy = f(x)dx. A. dy = cosx dx B. dy = sinxax C. Ady = cosx dx D. > dy = sinx dx 5. Solve the equation x A. y = (4 In(x) + (): C. y = (In(x))i + c B. y = 4 In(x) + C D. y - -(4 In(x) + chi 6. Solve the equation: My = 4x + 10 A. y=x+ 5r +C B.y=x'+8r+C C.y=x+5+C D.y=x+8+C 7. Solve the equation; Zydy = (x] + 1)dx Ay= txtx+c C. yl = 4x+x+c B. yl = 1x+x+c D. yl = 'r'+x+c 8. What is the order of 3 + 3- -y = 0? A. 0 B. 1 C. 2 D. 3 9. What is the general solution to the equation = /(x)g(x) is : A. [ g(y)dy = [f(x)dx C. Jo(y)dx = [f(x)dy B. Jaydy = Jf(x)dx D. J-dx = [f(x)dy10. Solve the differential equation using separable method of =dy = 3xy2dx Al=x'+c B. 3=>+c c.==x+C D. = = 27 + C 1 1. Find the general solution of 2dy = 3xdx A. y= = "+C B. AY= D+ C C. A. y= +C D. A. y= =+ C 12. Which of the following differential equation, whose general solution is y(x) = -6x2+ C? 1=x-2 +x B. - + 3r = 0 C. " = -12x D. -6-=1 13. Rewrite the equation (1 + x)dy - ydx = 0 in the form g()dy = f(x)dx. A. ydy = # B. -dy = (1 + x) dx C. _dy = # D. ydy = (1 + x) dx 14. Rewrite the equation _dy = 3xy'dx in the form g(y)dy = /(x)dx. A. y' dy - dr B. - 5 dx C.y dy = = dx D. 15. Find general the solution to the equation 4- -2+C B. 2y - -2+C C. C - +C D. Zy]- 2+C1. What is the order and degree for the differential equation: ( !) + s ()" = 005 3.x A. Order: 2; Degree: 4 C. Order: 3; Degree: 2 B. Order: 2; Degree: 3 D. Order: 4; Degree: 2 2. Which of the following differential equation is NOT separable. A. = 2xy(cosy - 1)