Question

Solve: 1.dy/dx=(e^(y-x)).secy.(1+x^2),y(0)=0.

2.dy/dx=(1-x-y)/(x+y),y(0)=2 .

Answer #1

solve for y:
1. dy/dx= xe^y separable
2. x(dy/dx)+3y=x^2 when y(5)=0 1st order linear

Solve:
(2x^2 - y) dx + (x + y^2) dy = 0

solve ivp: (y+6x^2)dx + (xlnx-2xy)dy = 0, y(1)=2, x>0

(x-y)dx + (y+x)dy =0 Solve the differential equation

Solve the 1st order initial value problem:
1+(x/y+cosy)dy/dx=0, y(pi/2)=0

1) Solve the given differential equation by separation of
variables.
exy
dy/dx = e−y +
e−6x −
y
2) Solve the given differential
equation by separation of variables.
y ln(x) dx/dy = (y+1/x)^2
3) Find an explicit solution of the given initial-value
problem.
dx/dt = 7(x2 + 1), x( π/4)= 1

differential equations solve
(2xy+6x)dx+(x^2+4y^3)dy, y(0)=1

Solve the Homogeneous differential equation
(7 y^2 + 1 xy)dx - 1 x^2 dy = 0
(a) A one-parameter family of solution of the equation is y(x)
=
(b) The particular solution of the equation subject to the
initial condition y(1) =1/7.

Solve the system of differential equations using laplace
transformation
dy/dt-x=0,dx/dt+y=1,x(0)=-1,y(0)=1

Solve the equations: dy/dx+(1/x-2x/(1-x^2))*y=1/(1-x^2)

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