Find the general solution of the following differential equation. Primes denoto derivatives with respect to x....
1.6.12 Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 5xyy' = 5y2 + 4x 18x2 + y2 For x, y>0, a general solution is (Type an implicit general solution in the form F(x,y) = C, where C is an arbitrary constant. Type an expression using x and y as the variables.)
Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 30xy?y' = 210x3 + 30y3
Find a particular solution yp of the following equation. Primes denote the derivatives with respect to X. y (5) + 7y(4) - y = 15 The particular solution is yp(x) = 0
1) Write a differential equation describing this system. This means find the equation of the line in the graph. df ar= 1x-80 2) Find the general solution to this differential equation. Find the function f(x) whose derivative is the equation of the line graphed. The solution is: f(r) -.5x 2-80x 3) Now given that function f(x) includes the point (0, 100) find the exact solution of the differential equation found in 1). In addition to general solution you will have...
Struggling with this differential equations problem. Can't find the integrating factor to continue Solve the equation. (4x2 +2y+ 2y2dx + (x + 2xy)dy 0 An implicit solution in the form F(x,y) C is by multiplying by the integrating factor C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.)
The differemtial equation has an implicit general solution of the form F(x,y)= K, where K is an arbitary constant. In fact, because the differential equation is separable, we can deifine the solution curve implicitly by a function in the form: F(x,y)=G(x)+H(y) = K Find such a solution and then give the related functions requested. F(x,y)=G(x)+H(y)=???? dy 10.0 +7 9y? + 18y +3
[H] Consider the differential equation dx 1+x2 (H.1) Find the general solution of the above differential equation. You may leave your answer in implicit form for this part. (H.2) Find the particular solution of the above differential equation satisfying y(0) = - Write your answer in EXPLICIT form [i.e. y = f(x)].
Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the form F(x,y) C is C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the...
Use the method for solving homogeneous equations to solve the following differential equation. 9(x2 + y2) dx + 4xy dy = 0 Ignoring lost solutions, if any, an implicit solution in the form F(x,y)=C is = C, where is an arbitrary constant (Type an expression using x and y as the variables.)
Thank you! Use the method for solving Bernoulli equations to solve the following differential equation. dy 3 dx + yºx + 5y = 0 = C, where C is an arbitrary constant. Ignoring lost solutions, if any, an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.)