Question
Solve the differential equation
y=C,C∈R
Evaluate
y′=(0×∣11∣×0)y×11et
Any expression multiplied by 0 equals 0
y′=0×y×11et
Multiply
More Steps

Evaluate
0×y×11et
Any expression multiplied by 0 equals 0
0×yet
Any expression multiplied by 0 equals 0
0×et
Any expression multiplied by 0 equals 0
0
y′=0
Rewrite the expression
dxdy=0
Transform the expression
dy=0×dx
Integrate the left-hand side of the equation with respect to y and the right-hand side of the equation with respect to x
∫1dy=∫0dx
Calculate
More Steps

Evaluate
∫1dy
Use the property of integral ∫kdx=kx
y
Add the constant of integral C1
y+C1,C1∈R
y+C1=∫0dx,C1∈R
Calculate
More Steps

Evaluate
∫0dx
Use the property of integral ∫kdx=kx
0
Add the constant of integral C2
0+C2,C2∈R
y+C1=0+C2,C1∈R,C2∈R
Solution
y=C,C∈R
Show Solution
