determine which equations are exact and solve them
determine which equations are exact and solve them 10. (2x2 + 8xy + y2) dx +...
Solve the following initial-value problems (which could be homogeneous, Bernoulli, or exact). (2x2 + y2) dx - xy dy = 0, y(1) = 8
please determine which equations are exact and solve them. Exact Equation nice* (x + y + 2xy2 ) + 6x) dx +(2x+ye* +2 ) dy = 0 2) · (3x” cos xy - x® y sin xy + 4x )dx +(8y - x' sin xy) dy = 0
2 2(10). Determine if the following two equations are exact, and solve it if "yes". (a) (? - )dx + (1 - **+ **)dy = 0. (b) (x + tan- y)dx + **dy = 0.
solve for dy/dx: x2 + xy3 - y + y2 = 9
2. Solve the differential equation (2xy + y)dx + (x2 + 3.ry2 – 2y)dy = 0. Answer: x²y + xy3 – y2 = C.
3. Show that the following differential equation is Exact and solve it. (30 pts.) .43 1+8xy 13 2.X"12/3 dx + 1 2/3 1/3 7,4/ 3 d y = 0, y(1)=8
(2xy - y2 + 2) dx + (x2 – 2xy – 3) dy=0 (Exact Equation)
Determine whether the equation is exact. If it is, then solve it (2xy + 3)dx + (x²-6) dy=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The equation is exact and an implicit solution in the form F(x,y)=Cis-C, where is an arbitrary constant (Type an expression using x and y as the variables.) OB. The equation is not exact,
Determine whether the equation is exact. If it is, then solve it. (3x²y + 4) dx + (x3 - 3) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. = C, where C is an arbitrary constant. O A. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) OB. The equation is not...
4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0 4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0