Problems 1-6, Find the solutions to the differential equations, subject to the given initial conditions. 1. 6x + 5y = 0.y(3) = 2. Write your answer in standard form: Ax² +

By² = C. x 5y = -6x(x) + -6dx AND y = = = = ² x ² + ²√³x + C = -6x Sy² = -bxdx 2. dx=2.y(4) = 1 3. dx = (y + 8), y(0) = 4 4. ex - y = 0, y(0) = 3/n5. dP+k(P-65)dt = 0, P(0) = 130 JP--K(P-65) J+ de P-65 = -k dt In/P-65/= -K+ +C 6. 2y = x + sinx, y(0) = 1 -kt P-65 Ce P=Ce -16 +65