Question

In: Advanced Math

Solve by separation variables (2x-5y-2)dx+(5x-y-5)dy=0

Solve by separation variables (2x-5y-2)dx+(5x-y-5)dy=0

Solutions

Expert Solution

We shall use some substitution to this differential equation to convert it into homogenuous differential equation.


Related Solutions

Solve ODE (3x - 2y + 1)dx + (-2x + y + 2)dy = 0 with...
Solve ODE (3x - 2y + 1)dx + (-2x + y + 2)dy = 0 with the method of x =u + h and y = v + k
Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln...
Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln x +y/x)dx = (1-lnx)dy Solve (y^2+yx)dx - x^2dy =0 Solve (x^2+2y^2)dx = xydy Solve Bernoulli's Equation x dy/dx + 2y = (x^4)(e^x)(y^2) Solve Bernoulli's Equation (1+x^2) dy/dx = 2xy +(e^x)(y^2) Solve IVP (3e^(x^2))dy + (xy^2)dx=0 ; y(1) = 2 Solve IVP dy/dx -2xy = e^(x^2) ; y(0)=0 Solve IVP (x^2+y^2)dx+(2xy)dy=0; y(1)=1 6. Mixture Problem Initially 40 lb of salt is dissolved in a large...
Solve these first-order Differential Equations using an integrating factor. 1. dy/dx+2xy=0 2. dy/dx-y=5 3. dy/dx+y=x 4....
Solve these first-order Differential Equations using an integrating factor. 1. dy/dx+2xy=0 2. dy/dx-y=5 3. dy/dx+y=x 4. (x)dy/dx+(x+1)y=3/x 5. (x^2)dy/dx=e^x-2xy
Solve the following differential equations. a.) (2xy^2 +2x)dx−(4x^2 +1)dy=0 b.) (3ye^(3xy) +4xy)dx+(3xe^(3xy) +2x^2)dy=0
Solve the following differential equations. a.) (2xy^2 +2x)dx−(4x^2 +1)dy=0 b.) (3ye^(3xy) +4xy)dx+(3xe^(3xy) +2x^2)dy=0
Solve the initial value problem dy/dx = −(2x cos(x^2))y + 6(x^2)e^(− sin(x^2)) , y(0) = −5...
Solve the initial value problem dy/dx = −(2x cos(x^2))y + 6(x^2)e^(− sin(x^2)) , y(0) = −5 Solve the initial value problem dy/dt = (6t^5/(1 + t^6))y + 7(1 + t^6)^2 , y(1) = 8. Find the general solution of dy/dt = (2/t)*y + 3t^2* cos3t
solve cos^2xsinx dy +(ycos^2x-1)dx=0
solve cos^2xsinx dy +(ycos^2x-1)dx=0
Solve the differential equation dy/dx = 15x + 5y/ 5x + 15y. Write your solution without...
Solve the differential equation dy/dx = 15x + 5y/ 5x + 15y. Write your solution without logarithms, and use a single, consolidated c as a constant
d^2y/dx^2 − dy/dx − 3/4 y = 0, y(0) = 1, dy/dx(0) = 0, Convert the...
d^2y/dx^2 − dy/dx − 3/4 y = 0, y(0) = 1, dy/dx(0) = 0, Convert the initial value problem into a set of two coupled first-order initial value problems and find the exact solution to the differential equatiion
(2x−y3−yex)dx=(2+ex+3xy2 )dy, y(0)=2. Solve the initial value problem and verify exact.
(2x−y3−yex)dx=(2+ex+3xy2 )dy, y(0)=2. Solve the initial value problem and verify exact.
Solve this differential equation (4x - 2y)dx + (2x - 9y)dy = 0
Solve this differential equation (4x - 2y)dx + (2x - 9y)dy = 0
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT