differentiation dy dx

If the differential equation is of the form M dx + N dy = 0, then the condition for exactness is _____. => ∂ M ∂ y = ∂ N ∂ x or ∂ M ∂ y = ∂ N ∂ y or ∂ M ∂ y ≠ ∂ N ∂ x or ∂ M ∂ y + ∂ N ∂ ..

Solve the differential equation ( x + y 2 ) dx + (2 xy + 1) dy = 0. => IV or III or I or II or V..

Choose the correct statement(s) for the differential equation M dx + N dy = 0, where M = ( x 2 + 2 x + y ) and N = ( x 2 + 4 y - 2). => III and V only or II only or I only or IV only or I and II only..

Solve the differential equation ( x 2 + ay ) dx + ( ax - y 2 ) dy = 0. => III or IV or V or I or II..

The fact that, D y - f(x, y) D x 0 as D x 0 is expressed by writing dy = f(x,y)dx is an alternative form of the differential equati..

A first-order first-degree differential equation if of the formA first-order first-degree differential equation if of the form The equation (1) can be rewritten as .(2) where So, The fact that, D y - f(x, y) D x 0 as D x 0 is expressed by writing dy = f(x,y)dx..

Solve y dy + ( x + y ) dx = 0. => xy - y 2 2 = c or xy + y 2 2 = c or xy + 2 y 2 = c or xy - y 2 = c or xy + y 2 = c..

Solve the equation x dy - y dx = x 2 + y 2 d x . => ( y + x 2 + y 2 ) = C 1 x 2 or ( x + x 2 + y 2 ) = C 1 x 2 or ( y + x 2 + y 2 ) = C 1 x or xy..

What is the differential of the function y = 4 x - 5sin x ? => (5 cos x ) dx or (- 5cos x ) dx or (- 4 x 2 + 5cos x ) dx or (ln x + 5cos x ) dx or - ( 4 x 2 + 5cos x ) dx..

Find the differential of the function y = (6 x 3 + 7)( x 4 - 5 x ). => (12 x 5 - 126 x 2 ) dx or (6 x 6 - 884 x 3 - 35) dx or (42 x 6 - 92 x 3 - 35) dx or (- 42 x 6 + 148 x 3 + 6) dx or (6 x 5 - 12 x 2 ) dx..