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

Expert Solution

Colby Messinger answered 2 years ago

Solve this differential equation (4x - 2y)dx + (2x - 9y)dy = 0

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 Homogeneous differential equation. Please show work (4x - 2y)dx + (2x - 9y)dy = 0

Solve the following differential equations. i) y'''-6y''+10y'=0 ii) dy/dx= x2/(1+y2) with y(1)=3 iii) (x2-2y)y'+2x+2xy=0 iv) Use...

Solve the following differential equations. i) y'''-6y''+10y'=0 ii) dy/dx= x2/(1+y2) with y(1)=3 iii) (x2-2y)y'+2x+2xy=0 iv) Use substitution to solve t2y'+2ty=y5 for t>0

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...

Question

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

Solutions

Expert Solution

Related Solutions

Solve this differential equation (4x - 2y)dx + (2x - 9y)dy = 0

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 Homogeneous differential equation. Please show work (4x - 2y)dx + (2x - 9y)dy = 0

Solve the following differential equations. i) y'''-6y''+10y'=0 ii) dy/dx= x2/(1+y2) with y(1)=3 iii) (x2-2y)y'+2x+2xy=0 iv) Use...

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 ODE (3x - 2y + 1)dx + (-2x + y + 2)dy = 0 with...

solve cos^2xsinx dy +(ycos^2x-1)dx=0

Use the Laplace transform to solve the given system of differential equations. dx/dt + 2x +dy/dt=...

Find The solution of the Differential Equation of (y+4x+2)dx - dy = 0, y(0) = 3...

Integrate the following differential equations: a.) y(2x−y+2)dx+2(x−y)dy = 0; b.) yV-2yIV+3y''' - 2y'' = -x + ex.