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(4) Match the following differential equations with their solutions. The symbols A , B , C in the solutions stand for arbitrary constants. You must get all of the answers correct to receive credit. 1. d^2y/dx^2+81y=0 2. dy/dx=(-2xy)/(x^2-9y^2) 3. d^2y/dx^2+16(dy/dx)+64y=0 4. dy/dx=18xy 5. dy/dx+24x^2y=24x^2
A. y=Acos(9x)+Bsin(9x) B. 3yx^2-9y^3=C C. y=Ae^9x^2 D. y=Ce^-8x^3+1 E. y=Ae^-8x+Bxe^-8x