12. Find the explicit solution of the following initial value problem. 4x – 6x2 y' = y(0) = -3 O y = -V4x? 6x3 + 9 - O y = V4x? 4x3 + 9 y = 4x3 + 9 9. 4x – 6x2 + 2 2 y? :4x2 – 4x³ +9 | నా

Q: 9. Suppose you sell Dried Chile Mangoes and Biscochitos, each by the pound. Your profit function is…

A: Let x represents the pounds of chile mangoes sold and y represents the pounds of biscochitos sold.…

Q: If P(x)=x2+x+3 and Q(x)=5x2−1​, find Q (1/4)

A:

Q: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

A:

Q: 1.- Solve S² (4-x-y) dxdy

A: ∫02​∫01​(4−x−y)dxdy Integrate with respect to x treating y as constant and then with respect to…

Q: Two balloons, one red and one green are released from a platform at t=0. Each balloon goes up for a…

A:

Q: 5. Solve IVP у" - 4y" + 7y - бу %3D 0, у(0) %3D 1, у'(0) — 0, у" (0) — 0

A: See the attachment

Q: If y=x* - 5x² + 2x – 3 then equals dx A x* - 5x² + 2 В 4x – 10x+ 2x – 34 4x - 10x+ 2x D 4x - 10x+ 2…

A:

Q: 2. Solve (y + x²y) dy dr = 1

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.